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5. Pick-A-Ball In the game of Pick-A-Ball, there are 10 colored balls: 5 red, 2 white, and 3 blue. The balls have been placed into a small bucket, and the bucket has been shaken thoroughly. You will be asked to reach into the bucket without looking and select 2 balls. Because the bucket has been shaken thoroughly, you can assume that each individual ball is selected at random with equal likelihood of being chosen. It is common in games of chance to be rewarded for obtaining unlikely results. For example, in the game of poker, hands that are less likely to occur tend to trump hands that are more likely to occur. That same concept applies in this game. It costs $10 to play Pick-A-Ball, and your prize is the reciprocal of the probability of obtaining your exact sequence of results, expressed in dollars. For example, if the probability of obtaining your exact sequence of results is 0.10, your prize is 1/0.10 = $10, and you break even. Therefore, to make a positive profit from playing Pick-A-Ball, the probability of obtaining your results must be lower than 0.10. When you reach into the bucket, your result is based on a simulation. In a simulation, random events are modeled in such a way that the simulated outcomes closely match real-world outcomes. In this simulation, your result is simulated based on the probabilities of obtaining a ball of a particular color. Now, close your eyes! Reach into the bucket, and pick a ball. (Click the blue Pick-A-Ball! icon to simulate reaching into the bucket and drawing your ball.) Pick-A-Ball! What is the probability of selecting the color of ball that you just selected? (Round your answer to four decimal places.) Don't put your first ball back into the bucket. Now, reach in (again, no peeking!), and pick your second ball. (Click the blue Pick-A-Ball! icon to simulate reaching into the bucket and selecting your next ball.)

5. Pick-A-Ball In the game of Pick-A-Ball, there are 10 colored balls: 5 red, 2 white, and 3 blue. The balls have been placed into a small bucket, and the bucket has been shaken thoroughly. You will be asked to reach into the bucket without looking and select 2 balls. Because the bucket has been shaken thoroughly, you can assume that each individual ball is selected at random with equal likelihood of being chosen. It is common in games of chance to be rewarded for obtaining unlikely results. For example, in the game of poker, hands that are less likely to occur tend to trump hands that are more likely to occur. That same concept applies in this game. It costs $10 to play Pick-A-Ball, and your prize is the reciprocal of the probability of obtaining your exact sequence of results, expressed in dollars. For example, if the probability of obtaining your exact sequence of results is 0.10, your prize is 1/0.10 = $10, and you break even. Therefore, to make a positive profit from playing Pick-A-Ball, the probability of obtaining your results must be lower than 0.10. When you reach into the bucket, your result is based on a simulation. In a simulation, random events are modeled in such a way that the simulated outcomes closely match real-world outcomes. In this simulation, your result is simulated based on the probabilities of obtaining a ball of a particular color. Now, close your eyes! Reach into the bucket, and pick a ball. (Click the blue Pick-A-Ball! icon to simulate reaching into the bucket and drawing your ball.) Pick-A-Ball! What is the probability of selecting the color of ball that you just selected? (Round your answer to four decimal places.) Don't put your first ball back into the bucket. Now, reach in (again, no peeking!), and pick your second ball. (Click the blue Pick-A-Ball! icon to simulate reaching into the bucket and selecting your next ball.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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5. Pick-A-Ball In the game of Pick-A-Ball, there are 10 colored balls: 5 red, 2 white, and 3 blue. The balls have been placed into a small bucket, and the bucket has been shaken thoroughly. You will be asked to reach into the bucket without looking and select 2 balls. Because the bucket has been shaken thoroughly, you can assume that each individual ball is selected at random with equal likelihood of being chosen. It is common in games of chance to be rewarded for obtaining unlikely results. For example, in the game of poker, hands that are less likely to occur tend to trump hands that are more likely to occur. That same concept applies in this game. It costs $10 to play Pick-A-Ball, and your prize is the reciprocal of the probability of obtaining your exact sequence of results, expressed in dollars. For example, if the probability of obtaining your exact sequence of results is 0.10, your prize is 1/0.10 = $10, and you break even. Therefore, to make a positive profit from playing Pick-A-Ball, the probability of obtaining your results must be lower than 0.10. When you reach into the bucket, your result is based on a simulation. In a simulation, random events are modeled in such a way that the simulated outcomes closely match real-world outcomes. In this simulation, your result is simulated based on the probabilities of obtaining a ball of a particular color. Now, close your eyes! Reach into the bucket, and pick a ball. (Click the blue Pick-A-Ball! icon to simulate reaching into the bucket and drawing your ball.) Pick-A-Ball! What is the probability of selecting the color of ball that you just selected? (Round your answer to four decimal places.) Don't put your first ball back into the bucket. Now, reach in (again, no peeking!), and pick your second ball. (Click the blue Pick-A-Ball! icon to simulate reaching into the bucket and selecting your next ball.)
Transcribed Image Text:5. Pick-A-Ball In the game of Pick-A-Ball, there are 10 colored balls: 5 red, 2 white, and 3 blue. The balls have been placed into a small bucket, and the bucket has been shaken thoroughly. You will be asked to reach into the bucket without looking and select 2 balls. Because the bucket has been shaken thoroughly, you can assume that each individual ball is selected at random with equal likelihood of being chosen. It is common in games of chance to be rewarded for obtaining unlikely results. For example, in the game of poker, hands that are less likely to occur tend to trump hands that are more likely to occur. That same concept applies in this game. It costs $10 to play Pick-A-Ball, and your prize is the reciprocal of the probability of obtaining your exact sequence of results, expressed in dollars. For example, if the probability of obtaining your exact sequence of results is 0.10, your prize is 1/0.10 = $10, and you break even. Therefore, to make a positive profit from playing Pick-A-Ball, the probability of obtaining your results must be lower than 0.10. When you reach into the bucket, your result is based on a simulation. In a simulation, random events are modeled in such a way that the simulated outcomes closely match real-world outcomes. In this simulation, your result is simulated based on the probabilities of obtaining a ball of a particular color. Now, close your eyes! Reach into the bucket, and pick a ball. (Click the blue Pick-A-Ball! icon to simulate reaching into the bucket and drawing your ball.) Pick-A-Ball! What is the probability of selecting the color of ball that you just selected? (Round your answer to four decimal places.) Don't put your first ball back into the bucket. Now, reach in (again, no peeking!), and pick your second ball. (Click the blue Pick-A-Ball! icon to simulate reaching into the bucket and selecting your next ball.)
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