# Find each probability if you spin both spinners

3. What Pid the Teenage Yardstick Say To Its Parents? Find each answer in the Of answers under the exercise. P(striped, even) O Solve. Are the outcomes equally likely? Explain your reasoning. 94%. If you know that you got the same color twice, what is the probability the color was red? 4. 21. The possible outcomes for her 2 spins are shown in the tree diagram below. Each spinner is numbered 1-4. There is no information on the shape of the two spinners and what colours are on each. pentagon 11. Suppose the number of blocks of each color is doubled. You spin spinners A and B two times each. P(red. contestant can spin an A or a B. Kareem stepped to the free throw line for two shots. P(green, odd) N. What is the probability of getting a dog? spun twice. You are going to conduct an experiment in which you will spin both spinners on Handout/Transparency 1 and record the value spun. Suppose you spin both spinners. Julia has two boxes of juice pops with an equal number of pops in each flavor. and C) 20. What is the probability of a. blue A. Find each probability if you spin both spinners. ) When you finish, write the letters from the remaining boxes in the spaces at the bottom of the page. A 1 5 C 1 3 B 1 15 D 1 8 ____ 5. Each game wheel is divided into equal sections. 75, and the probability of rain on Tuesday is 0. probability of spinning brown both times? _____ 24. finish your supper, you may have dessert. Mark your answer on the answer sheet by FILLING in the oval. There is exactly one outcome where the spinner spins 5 AND the cube rolls 5 (5-5), which should only be counted once, so there are 6+5-1=10 outcomes where the spinner spins 5 OR the cube rolls 5. Each spin is independent. Find the probability that the spinner stops on l, then 2. c) What is the probability of spinning A followed by B: P(A then B)? the second is drawn. The second spinner is 2/3 is B and 1/3 is A. You haven’t given any information about the “spinners” you have in mind. Find each compound probability 18. This spinner is spun twice. Find each probability if you choose one marble at All of the experiments above involved independent events with a small population (e. 5 Probability of Independent and Dependent Events 731 Using a Complement to Find a Probability You collect hockey trading cards. Each has 5 equally likely outcomes, the numbers 1 through 5. (If an answer appears more than once, it doesn't matter which one you cross out. and A) 19. Odd or Even Launch Spinner A will be the three-part spinner and Spinner B will be the four-part spinner. What are the odds of selecting a club? 32. What is the probability that both spinners will land on A? P(A and A) = _____ Olivia randomly spins the spinner below once. P(not white, odd) O. Find the probability of spinning each of the following: a 3 on both spinners, 1 on one spinner and a 3 on the other, both numbers less than 4, 3 on . List the outcomes that are possible when you spin both pointers. P(number<5, blue, not W) Closure- Draw a tree diagram to show the sample space, then use the tree diagram to answer the following probability questions. P(a vowel Find each probability If you spin the spinner and roll the die. and not R) Orange Brown Brown Use the spinner to the right for the next two problems. g. I want to make sure I have the correct understanding of conditional probability. P (white, A) P(striped, A) P(not striped, A) P (not white, A) If I spin the spinner two times, what is the . . P (white, A) P(striped, A) P(not striped, A) P(not white, A) What is the probability of spinning blue on both spinners? You spin a spinner two times find the probability that the spinner stops on 3 then 1? the probability for each part (for instance Probability 16. Find the probability of spinning not white B if you spin both spinners. d. The probability that you spin a 2 or a 5 is 1 10. EXAMPLE 5 Finding probability: selecting a jelly bean from a bowl Suppose we select one jelly bean at random from the bowl in Figure 7. List the sample space:——- 12 g q s 0 30 go 50 16. If the probability of making each shot is what is the probability that he will make both shots? Find each correct answer in the set of answers under Che exercise and cross out the letter above it. a) What is the probability of spinning A on the ﬁ rst spin? b) Draw a tree diagram to represent the sample space for both spins. Number of Coins Type of Coins Total Value of Coins 2 Penny \$0. Find the probability Lessons distinguishing between theoretical probability and experimental probability, How to find and use experimental probability, How to find the theoretical probability of an event, How to use the formula for theoretical probability, examples with step by step solutions, questions and answers Muscle Shoals Middle School Math Tournament November 2, 2013 Algebra I Written Test 10. Spinning an even number and then an odd number 14. Warm-up Use the spinner diagram to the right for problems 1-6. The outcome is the sum of both spinners. Find each probability if you spin the spinner once. What is the experimental Chapter Problem you will spin purple? Hint: Red and blue mix together to make purple. b. What do you notice about the total in each column? 3. 2. Find the probability if you spin both spinners. You have calculated that there are a total of 20 possibilities and that, essentially, 11 of those outcomes are drawing a white marble. You can also use two spinners to teach students about the probability of combined independent events. 1) You roll the die and spin the spinner. What is the probability that all of For example, you can use probability to help predict what the chances of winning are in such games as dice and poker, or even in larger games, such as the lottery. X) N. What is the probability of getting a 5? 18. If you spin the spinner twice, what is the probability of spinning brown both the second is drawn. For example, if you spin a 2 and a dime, you will record \$0. 2 Fold in half in both directions. P(circle) b. These can be used as random number generators in lessons. Spinner A Spinner B a. Probability Distribution is a graph, table or formula (or function) that gives the probability of each event in a sample space. When working with probability, you should be familiar with many words. P(odd, S) 4. : spinners or dice) OR You repeat the same activity, but you REPLACE the item that was removed. Find the probabilities below as a fraction, decimal, and percent. x C. not a heart, or a 7 15. Many children’s games use “spinners. Each time you spin this spinner, how many equally likely outcomes are there? 2. Question= you spin the spinner 1 both times. l. Spinning a number less than 3 and spinning black. All cards in a pack are A game uses the two spinners shown in the image. What are the odds of not selecting a 2? Find each probability if you spin both spinners. The probability of that alternative sequence is (4/9) * (1/9) = 4. The letters represent the colors red (R), yellow (Y), blue (B), and green (G). These easy-to-use spinners let students make predictions…spin for the outcomes…then practice expressing probabilities! Our set includes spinners with colors, numbers and coins—even blank spinners so you can make your own. Spin both spinners, and record the results in the chart below. Find each of outcomes, then find each probability. In this game, there is object (let's say a coin) hidden under one of three cups and you have to try and guess which cup it is under. 1. a. Assuming the game is fair and there are three cups, what is the probability you will guess correctly on the first try? Chapter 7 Probability and Statistics In this chapter, students develop an understanding of data sampling and making inferences from representations of the sample data, with attention to both measures of central tendency and variability. Use the tree diagram to ﬁ nd the probability of the events. In homework, you have practiced determining probabilities in situations where each outcome you listed had an equal probability of occurring. (Same concept as the dice) 15. You spin each spinner one time. N. Find each compound probability. from both categories and make a fraction to find the probability. For the following scenarios create an area model and solve the probability questions. On dependent events the second event is limited by the. P(a Two identical spinners each have five equal sectors that are numbered 1 to 5. In both of these experiments, the outcomes are equally likely to occur. P(multiple of 3 or odd) 6. A 6-sided die, a 2-sided coin, a deck of 52 cards). on both number cubes is 36 6 on the white number cube? on the red number cube? b) The predicted probabilitv of rolling a 6 a) What is the probability of rolling a 130 Unformatted text preview: What Do the Police Put On a Bad Pig? Cross out the box containing each correct answer. P(even or odd) 5. Find the probability of each event. You pick one block from the bag at random. P(A and not R) Orange Brown Pink Brown Use the spinner to the right for the next two problems. Conduct your simulation to find the experimental probability of rain on both days. If the player gets red on spinner A and blue on spinner B, the player wins because mixing red and blue makes purple. Probability / Day # 7 Probability • Understand the concept of probability as relative frequency. Each person takes a turn spinning the spinner and recording what color the spinner stops on. Find each Form G 3. Suppose you spin two spinners. That way when your administrator walks into your classroom and says, ‘why are all these kids laughing and having fun with these spinners . involves using both of the spinners shown. Another is divided into three parts with the letters A, B, and C. Find each probability if you E Q spin the spinner once. Another spinner. Clue #4 It is more likely you will get a goldfish than a turtle. they can’t possibly be learning anything,’ you can just grab your ‘I can’ sheet and refer to the CCSS. In Exercises 1-8. Win Lose Lose Lose Win Lose Outcome Trial A bag contains 36 red, 48 green, 22 yellow, and 19 purple blocks. P(black, 2) N. @ P(white, A) @ P(white, B) @ P(striped, A) @ P(striped, B) Cross out the box containing each correct answer. Hot Tip! The principle that allows us to calculate the probability of two or more mutually exclusive events occurring is also called the Addition Rule and is written as follows: P(A or B) = P(A) + P(B) Find the probability of each outcome in a sample space of size n, assuming that each outcome in the sample space is equally likely to occur. Attempt every question. Write out the sample space for spinning both spinners. Spinning a 5 and not spinning white. Teacher Page . Make a chart or other diagram to show all of the outcomes. They will do this by 12. Donʼt spend too long on one question. Time limit: 20 minutes You may use calculators on this test. c. Cross out the box containing each correct answer. P(odd or multiple of 5) 7. Find the theoretical probability of rolling an even number with a die. To find the. P(even#, Z) 3) You roll the die, spin the spinner and pick a card. They then find the sum of the two numbers. Which of the following is NOT a factor of the polynomial x x x3 2 12 ? A. Are the examples in #1-4 independent or dependent events? 12. P(multiple of 3 or odd) 5. This time the spinner lands on red half of the time and on green one-third of the time. Find: Activity 11-6 Theoretical and Experimental Probability NAME: Solve. (a) Complete the possibility space diagram for each possible score. Both players cannot pick the same color. The sum of the measures of the interior angles of a polygon is 720°. Write the exercise letter in that box. If you spin the spinner what is the probability of spinning orange then brown? 22. Therefore, the probability that he rolls 5 or spins a 5 is 10/30=1/3. P(A and not R) Orange Use the spinner to the right for the next two problems. P(multiple of 2 or multiple of 3) 10. Kevin had 6 nickels, 10 dimes, and 8 quarters in his pocket, If he took out one coin and without replacing took out a second coin … a) What is the probability that both coins were ____ 4. If you spin the spinner three times, what is the probability of getting brown, then orange, then pink? _____ 25. The wheel spinner is spun twice. P(even or less than 8) 9. You spin spinner B two times. Find the probability that both events Coins and Probability Trees Probability using Probability Trees. Both spinners will be spun. Open and cut as shown. (CRT) Wendy will spin the arrow on each of the spinners shown below one time. So, the probability of drawing a white marble can now be approached like any other single-event probability calculation. What is the probability of a total of 7 when you spin both spinners? Algebra Linear Inequalities and Absolute Value Theoretical and Experimental Probability The question is on Probability: If I have a spinner and then spinner has the numbers 1,2,3,4 on it and it is spun 3 times, what is the probability that the spinner will stop on 4,3,and 1 ? In that order? Can you help? If so thank you. • give each student a printed version of your list of questions and highlight the questions for each individual student. 20. T. Do your rules from Activity 1 make sense for these spinners? Probability problem-middle school level. Wes is in a class of 18 students and Maureen is in a class of 20 students. For example, "IR" would mean 1 on the numbered spinner and red on the colored spinner. Each spinner is spun once. P(less than 5 or greater than 9) 8. Find each probablllty It you spin both spinners. Jeff is going to spin each spinner once. P(white, less than 5) W. P(multiple of 3 or odd) 4 P(less than 5 or greater than 9) Y 31/ 10 5. p oona cS) PC) V) C6) o 0 56 Eureka 1) Only 93% of the airplane parts David is examining pass inspection. In Experiment 2, the probability of rolling each number on the die is always one sixth. each shot is -94, what is the probability that he will make both shots? her way to work. The probability of rain on Monday is 0. If each spinner is spun once, what is the probability that both spinners show the same color? 3. Find each correct answer in the set of answers under the exercise and cross out the letter above it. = 1 20 + 1 20 = 2 20 = 1 10 Simplify. (If an answer appears more than from the remaining boxes in the spaces at the bottom of the page. card that you drew on your first turn would not be available the second time. 18. @ P(white, A) @ P(white, B) @ P(striped, A) @ P(striped, B) The probability that when you spin the The probability of both events, getting a 1 the first . Math 7 Practice Test Unit 11: Probability Page 5 of 7 22. Spinning an even number and spinning white. Which graph shows the probability distribution for the sum of the two spinners? a. P(multiple of 2 or multiple of 3) 6. For one team there are 25 different cards in the set, and you have all of them except for the starting goalie card. With the built in activities you can practice BODMAS, algebraic substitution or challenge students to find the rule to produce a result using addition, subtraction, multiplication and division. - Spin both spinners and add the two numbers together. 14. 1 Basic Principles of Probability Class Activity 16A: Probabilities with Spinners 1. What is the probability that a third child will be another boy? Explain. For each spinner, ﬁ nd the probability of landing on each number. probability that both spinners stop on the same number. So there is a 70% probability that a student is involved in at least one extra-curricular activity. The probability of landing on each color of the spinner is always one fourth. asked by Katy on February 1, 2012; math. What is the sample sp Suppose you spin a spinner that has 20 equal-sized sections numbered from 1 to 20. Show Step-by-step Solutions probability that the Hornets beat both teams. P(not blue, Y) white red white red Find each probablllty If you spin the spinner and roll the die. If you spin the spinner twice, what is the probability of spinning brown both Cross out the box containing each correct answer. Find P(B). Rolling a 3 or a 6 are two of them, so the probability is the ratio of 2/6 = 1/3. P (white, A) 2 P(white, B) @ P(striped, A) @ P(striped, B) X P(not white, A) P(not white, Probability, Tricks and Shortcuts in Maths, Video lecture for IIT JEE , CAT CPT Bank PO - Duration: 12:31. ” You can make a simple spinner by placing the tip of a pencil through a paper clip and holding the pencil so that its tip is at the center of the circle as shown. What is the probability of having two girls and one boy? d. P(6, P) 2. Marla is playing a game in which a player must spin each of two spinners at the beginning of Worksheet 12-8 ** Compound Probability You spin a spinner that has 12 equal-sized sections numbered 1 to 12. (You may want to use a table showing the sum for each of the 36 equally d. When a small number of items are selected from a large population without replacement, the probability of each event changes so slightly that the amount of change is negligible. Find the probability that both Wes and Maureen will be selected. ____ 12. The game involves using both of the spinners shown. P(white, A) = PC¥, B) g /S— P(striped, A) 7— P(striped, B) Find the probability of spinning white then A when you spin both spinners. What is the probability of selecting a black card? 30. A spinner is numbered from 1 through 10 with each number equally likely to occur. P(white, less than 5) W, P(not white, odd) O, P(green, odd) T. The probability you will get a goldfish is twice the probability you will get a turtle. 2/15 (2/5 x 1/3 = 2/15) Find the probability of spinning striped then A when you spin both spinners. If the player gets red on spinner A and blue on spinner B, the player wins, because mixing red and blue makes purple. If the probability of making each shot is what is the probability that he will make both shots? the second is drawn. odd) O. Read each question carefully before you begin answering it. What is the probability of having two boys and one girl? e. Kate Hi Kate, Recall that the probability of an outcome of an experiment is: Probability and Statistics 12 682 Chapter 12 Probability and Statistics 4 Label pockets as The Counting Principle, Permutations and Combinations, Probability, and Statistics. If you spin the spinner twice, what is the probability of spinning brown both times? Orange 23. 33. probability for these, the second MUST be adjusted for STATISTICS and PROBABILITY GRADE 7 INSTRUCTIONS Do not open this booklet until instructed to do so. P(not white, Y) 1. If you get an even on the first spin and a 5 on the second spin that ALSO gives you what you want. F. If the sum is EVEN, player 1 wins (Leo). What is the probability of not choosing a white block? Explain how you found your answer. Always show your workings using both of the spinners shown. What is the probability that it lands on an odd number on the first spin and then an even number on the second spin? A sum greater than 4? An even number on both spins? A sum that is odd? The same number on both spins? You are playing a game that involves 2 spinners, one spinner has the numbers 1,2,3,4,5. 20 or 20¢. The group has 3 courtside seats, 5 upper level seats, and 2 seats in the mezzanine. 5. What are the possible outcomes? What is the probability of each outcome? 2. P(odd or greater than 4) 2. Denise is conducting a probability experiment, using the two spinners shown here. neither a heart nor a 7 Number Sums for Rolling a Pair of Dice For the experiment of rolling an ordinary pair of dice, find the probability that the sum will be each of the following. Spinning an odd number and then a 2 12. All problems are based on the idea that the location where the pointer stops is random. All cards in a pack are What is the probability that both of the spinners shown in Figure 2 will stop on a 3 on the first spin? Since the probability that the first spinner will stop on the number 3 is and the probability that the second spinner will stop on the number 3 is , and because each event is independent of the other, simply multiply. Describe a simulation you could use to explore the probability of rain on both days. What is the probability of picking a yellow 6. STATiSTicS And probAbiliTy y it obl pr bai l ac eti Toehr • Theoretical probability is the probability of an event occurring, based on the number of possible favourable outcomes, n(A), and the total number of possible outcomes, n(˜). (b) Find the probability that Jeff gets (i) a score of 3 (ii) a score of 5 or STATISTICS and PROBABILITY GRADE 7 INSTRUCTIONS Do not open this booklet until instructed to do so. P(red 2 and Find each answer in the set of answers under the exercise. . Each spinner will land on a number. Find each probability. Compound Probability You spin a spinner that has 12 equal-sized sections numbered 1 to 12. I. What is the P(blue)? 17. If the probability of getting a 4 on one of the spinners is p and the probability of getting a 4 on the other spinner is q, one would expect (assuming the spins are independent) that the probability of getting a 4 on both spinners is p*q. C. You roll a red number cube and a blue number cube. The first light is green for 20 seconds out of each minute. A What is the probability that you spin a 2 or a 5? Because the spinner cannot land on both 2 and 5, the events are mutually exclusive. ind each probability if you spin both spinners. the other spinner has the numbers 1,2,3,4, When you spin the spinners the outcomes are equally likely. Use your tree diagram to determine the probability of winning each game! GAME A tep Right Up and WIN! Blue Yellužò Blue GAME B You win if the spinner lands on blue AND the coin lands on tails. What is the probability of selecting a Jack? 31. P(less than 4, consonant) 3. @ P(white, A) @ P(white, B) Algebra -> Probability-and-statistics-> SOLUTION: The spinner is divided in to 3 equal parts. Below, let P(hamster) refer to the probability of getting a hamster by spinning, and so on. Give each pair the two spinners and tell them the rules of the game. They are MUTUALLY EXCLUSIVE. The spinner activity can display up to four spinners. • When all outcomes are equally likely, the theoretical probability of an event can be Find the odds as if you were calculating the probability of a single event. P(blue, X) T. If you do not have time to do this, you could select a few questions that will be of help to the majority of students and write these questions on the board when you return the work to the students in the follow-up lesson. Forty tickets are sold for a raffle GCSE Maths revision practice paper 4. Spinning a 1 and then a 3 111. Find the probability that the spinner stops on the same number in all - A spinner has 8 sections each numbered from 1 to 8 you spin the spinner twenty times and it lands on seven 8 times what is the probability that it doesn t land on a seven If the spinner is spon twice what is the probability that the arrow will stop on a vowel both times? The wheel spinner is spun twice. P(even or odd) P(even or 7) 2. P(circle or square) A traffic signal is green for 20 seconds, then yellow for 5 seconds, then red for 25 seconds, When you reach the signal, what is the probability it is green? If you toss a coin 1000 times Teacher Page . You spin the spinner two times. probabilities. Each spinner measures 4 1/4" in diameter. A, P(white, 4) S. 1/5. Alok Gupta Classes 1,088,750 views Find each correct answer in the set of answers under the exercise and cross out the letter above it. The numbers of the parts are 1,2,3. P(green, odd) T. If the sum is ODD, player 2 wins (Tarra). The spinners are fair. What is the probability that it lands on an odd number on the first spin and then an even number on the second spin? A sum greater than 4? An even number on both spins? A sum that is odd? The same number on both spins? Now, calculate the probability of both events occurring for each player by adding the probability of the first event and second event together. You spin a spinner two times find the probability that the spinner stops on 3 then 1? The probability that a spinner with N sides stops on 2 particular numbers in two spins in 1 in N 2 . There are two spinners. Independent and Dependent Events Slide * Independent Events Whatever happens in one event has absolutely nothing to do with what will happen next because: The two events are unrelated OR You repeat an event with an item whose numbers will not change (eg. Find the probability of selecting one green marble from bag A and one black marble from bag B. P(not red. Exam Style Questions Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser Find the probability of scoring a 4 !He spins both spinners. The probability that when you spin the The probability of both events, getting a 1 the first . A. (ask me if you don’t know what is in the deck) 29. What is the probability of spinning a red, the number 1, and the letter A on the three spinners below? 13. 12. An outcome of this simulator is the section on which the spinner A spinner is divided into 15 equal sections, 5 red , 4 blue, 3 green, and 3 yellow. Advertisement | Go Ad-Free. Find each probability if YOU spin both spinners. P(even or odd) 4. 1/24 (1/4 x 1/6) Find the probability if you spin the spinner and roll the number cube of getting blue, 2. 14 18 56 12 576 755 251 18 56 12 2201 a 6 Solve. What happens to the probability of choosing each color? d. Serita and Will are part of a group going to a basketball game. A) If the spinner is spun once, what is the probability that it will stop on a green section? Is it 3/15, 20%? B) If the spinner is spun twice what is the probability that it will stop on a green section both times? I am not sure. P(not blue, Y) white red white red Find each probability if you spin the spinner and roll the die. These would then be dependent events. P(white, 4) S. Spinning an odd number on each spin You spin the spinner and ﬂ ip a coin. Real-World Link Approval PollsPolls are often conducted to determine You have two spinners, each with black, white, and gray sections. Show your work. If you spin the spinner once, there are 8 possibilities each time (1-8). 4. (If an answer appears more than once, It doesn't matter which one you cross out. A student randomly guesses the answer for each of the following multiple choice questions. Spinners demonstrate that the probability of a particular result from an action is the ratio of how many possible outcomes give you that result over the number of all possible outcomes. What is the sample sp You haven’t given any information about the “spinners” you have in mind. ( Find each answer in the set, of answers under the exercise. P(pointer stops on blue) 2. Check your answers seem right. Place index cards for notes in each pocket. You win ifthe spinner lands o lue OR the coin lands on tails 2/12 Develop and use probability models to find theoretical probabilities of events. Multiple Choice: 1 point ____ 1. • Simultaneous events -- Calculate the probability of two spinners with different number of outcomes. Unformatted text preview: What Do the Police Put On a Bad Pig? Cross out the box containing each correct answer. that it will stop on a green section both times? the probability that you spin green, the probability of it occurring Find each answer in the set Of answers unåer the exercise. Find the probability of each. P(blue. Spinning a prime number and flipping tails b. X) T. P(2, red) 2) You roll the die and pick a card. 2 Theoretical Probability 391 Work with a partner. 17. X) D. You may not use rulers, protractors, or other measurement devices on this test. Two seniors, one from each government class are randomly selected to travel to Washington, D. x 4 12. What is the probability of spinning an even number and a vowel? P(even) = (3 evens out of 6 outcomes) P(vowel) = (1 vowel out of 5 outcomes) P(even, vowel) = The two spinners above are spun. P(not red, X) D. If you spin the spinner twice, what is the probability of spinning orange then brown? Brown 22. Today we play a game. The probability of landing on 8 twice is 1/64. P(white, 4) Algebra -> Probability-and-statistics-> SOLUTION: The wheel spinner is equally divided into 5 even parts. Josh has a younger brother. 02 or 2¢ Exam Style Questions Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed Guidance 1. If each spinner is spun once, what is the probability that both spinners show blue? 2. If it is thrown three times, find the probability of getting: (a) 3 heads, (b) 2 heads and a tail, (c) at least one head. Leo takes a test spin first. (2 answers) 12: Spinning an even number on the first spinner and odd number on another spinner when both spinners have four parts numbered 1-4 You spin it twice. Spinning a 1 and spinning gray. Spinning a 3 and then an even number 13. probability of both events, multiply their individual. Suppose you add two more blocks of each color to the original bag. 2/25. Create a fraction in the next column, writing the result as a rational number A B. Find the theoretical probability of choosing a winning 3 digit number in the lottery. Now conduct the experiment 36 times and record your results in the table below. Find the theoretical probability that a family of four children will all be girls. P(even) 3. (If an answer appears more than once, It doesn‘t matter which one you cross out. x 3 B. Each person picks a color. THEORETCAL PROBABILITY. P(white, 4) S probability that it will stop on A? If you spin the spinner once, what is the probability that it will stop on B? If you spin the spinner 50 times, about how many times would you expect it to stop on A? If you spin the spinner 80 times, about how many times would you expect it to stop on C? 3. -ble outcomes; IPiHtthe 13. P(number greater than 0) There are eight blue marbles, nine orange marbles, and six yellow marbles in a bag. 1/25. probability it will land on A each time? 1/10. Is it 3/15+3/15 therefore 6/15? Probability 4. In other words, the spins do not affect each other. Its probability is therefore 1/8. heptagon C. P(not white. Problem: A coin is biased so that it has 60% chance of landing on heads. Notice that you get one sequence or the other, but you cannot get both. Find each theoretical probability. For problems 1-3 use the spinners at right R 1. P(multiple of 4) You spin a spinner numbered 1 through 10. P(white) = P(red) = P(purple) = b. hexagon D. For each question use an area model or a tree diagram to compute the desired probability. To try and get this card, you buy 8 packs of 5 cards each. com. ind each probability if you spin both spinners Cross out the box containing each correct answer. P(white. 578 CHAPTer 8 ProbabiliTy anD CoUnTing In Example 5, we select a jelly bean at random, so each outcome (candy) is equally likely to be chosen. a Making Purple game. - Decide who will be player A and player B. Express your answer as a fraction in simplest form. E. P(3 or 4) 2. Here is what he . You can use a table or graph If I have two spinners and one has a 1/5 chance of landing on white, and the other has a 1/3 chance of landing on the letter A, what is the probability (in fraction form) that when I spin both spinners they will land on a white and the letter A? You spin the spinner and flip a coin. Probability, Tricks and Shortcuts in Maths, Video lecture for IIT JEE , CAT CPT Bank PO - Duration: 12:31. You will need to make two spinners, one divided in half with the halves labelled 1 and 2, and the other divided into thirds and labelled 1, 2, and 3. If the probability of making what is the probability each shot is that he will make both shots? 12. What is the polygon? A. P(white, Y) O. The winner is the person whose color is the first to happen 10 times. The possibility of landing on the number 8 is 1 of these 8 possibilities. Let's look at an experiment in which the Find each probability if you spin the spinner and roll the die. The second light is green for 35 seconds out of each minute. P(red, X) N. Find f (2 You will develop new probability tools to help you analyze these situations. 7. If you spin both spinners, what is the P(blu« 5 control over the first coin and vice versa. If you spin them both, what is the chance that one will come up black and one grey? Show your work by drawing a diagram, then indicating which ones satisfy the experimental conditions. quadrilateral B. Play the game, and remember to record the color the spinner stops on for each spin. What is the probability that you will spin "East" and "1"? You spin both spinners. P(a vowel). Find the pro A card is selected at random from a standard of 52 cards. 4) S. Na Kareem stepped to the free throw line for two shots. 1) List all of the possible outcomes for this experiment. 4. single fair die, find the probability of each event. selecting a white jelly bean? b) Make the spinners and carry out the experiment. Find the probability of getting the results shown on the spinners. An example would be if you . Suppose we roll a fair die and A is the event that the outcome shows a number less than 3. Each part is labeled (0,1,2,3,4). The contestant spins a 3 and a B. The grey section is twice as large as the black or white section. Find each probablllty If you spin the spinner and roll the die. Are these outcomes equally likely? Explain your reasoning. You spin each spinner once. If the probability of making each shot is what is the probability that he will make both shots? Algebra -> Probability-and-statistics-> SOLUTION: The wheel spinner is equally divided into 5 even parts. THEORETICAL PROBABILITY. What is the probability of obtaining a number less than 2 or greater than 7 in a single spin? ____ 11. You have 2 spinners one with 4 equal sections (red, white, blue, green) and one with 3 equal sections (red, blue, red) If you spin both spinners what is the probability that both will land on red? If you spin both spinners what is the probability of at least Example Suppose you spin each of these two spinners. *Impossible — When an event will never happen. Each instructional card also references the Common Core Standard that the activity reflects. You get 24 spinners in a sturdy storage tub, with an activity guide. P(even or 7) 3. The dartboard has 8 sections of equal area. P(even or 7) 4. One spinner is divided into 4 parts numbered 1-4. A bag contains 6 red marbles, 6 white marbles, and 4 blue marbles. What is the theoretical probability that a player “makes Find each probability, Round to the nearest Other b. P(less than 5 or greater than 9) You roll a red number cube and a blue number cube. Now suppose we roll two fair dice. express probabilities as fractions in lowest terms. Figure 2. She is going to spin both spinners at the same time and wants to determine the probability of the But that is not the only sequence that gives you what you want. ' 3. Writing your answers as fractions in lowest terms, find the probability of each event. Marla is playing a game in which a player must spin each of two spinners at the beginning of Spin the spinner and tally the results at MathPlayground. To calculate probability, you need to know how many total possible outcomes there are, and how many of those possible outcomes will achieve the desired result. What is the probability of answering all three questions correctly? b. Consider the following scenario: You have three spinners, each with 6 equally sized regions, that are marked with a Probability problem with 2 spinners? If you have 2 spinners, the first what is the probability that the sum of the numbers in the If you spin a spinner twice that has one P, two S, and one L; what's the probability of getting an S and P in any order? Jason spins each of the two following Section 9. Spin to Win! You are going to conduct an experiment in which you will spin both spinners and record the value spun, for example, if you spin a two and a dime, you will record \$0. ? In the first spinner there is 1/5 white, 2/5 gray, and 2/5 striped. If you spin each spinner once, how many outcomes are possible? List the possible outcomes. notice that each outcome is not equally likely. Probability of Compound Events you spin a spinner that has 12 equal-sized sections numbered I to 12.  Jeff spins each spinner once. You draw one marble at random. P(white, A) P (white, B) P(striped, A) P (striped, B) Cross out the box containing each correct answer. Find the probability of randomly selecting a grape juice pop from the first box and randomly selecting a juice pop that is not grape from the second box. 7th Grade 60 Odd or Even Odd or Even Activity Leo and Tarra are playing a spinner game with the following rules: When it is a player’s turn, the player spins both spinners. List the possible outcomes when you spin both pointers. x 2 D. Find the probability that the spinner will stop on each of the colored areas below. Find P (red or blue). Here are two spinners. P(not white, 1. T 3 8 Find each probability if you choose one card at random. P(2 or 5) = P(2) + P(5) Substitute. Find each You are playing the "shell" game. @ P(white, A) @ P(white, B) @ P(striped, A) @ P(striped, B) What Do the Police Put On a Bad Pig? Cross out the box containing each correct answer. Each outcome is equally likely. Probability and Graphing Spin the spinner and tally the results. 20 possible outcomes; — 14. Then, in the remaining columns, simplify your fraction, if possible, and find the 14. Find the probability of each compound event. outcome of the first event. Jeff will get his score by adding these two numbers together. *Certain — When an event will always happen. Each region is equally likely, but you will Both spinners will be Find each probability if you spin the spinner and roll the die. Alok Gupta Classes 1,087,707 views In Experiment 1 the probability of each outcome is always the same. The Probability Simulation application on the TI-84 Plus can simulate spinning a spinner that is divided into two to eight sections of equal or unequal areas. It will not simulate the spinner landing on the boundary of two sections. If you spin the spinner NNice, what is the probability of spinning brown both times? Pink Orange Brwn 23. What is the probability that Dr. For each probability you determine, express the answer as a fraction, a decimal, and a percent. Jessica tosses two coins orange marbles. The next two lessons focus on tools for listing all the possible outcomes of a probability situation, called a sample space. Find each probability if you spin the spinner and roll the die. In Exercises 1-8, express probabilities as fractions in lowest terms. Spinning a multiple of 2 and flipping heads 2. If you spin both spinners, what is the P(blu« 5 coin. Sox will hit two green lights? ggggggguggggggggæ "AARDVARK": Find each probability if you pick a do probability of getting a 3 or a 6? There are a total of 6 possible outcomes. 10. find each probability if you spin both spinners

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