A metal ball is tossed into the wheel as it is spinning, and the ball eventually lands in one of the 38 segments. Each segment has an associated color. Two segments are green. Half of the other 36 segments are red and the others are black. When a balanced roulette wheel is spun, the ball equally likely to land in any one of the 38 segments. (a) When a balanced roulette wheel is spun, what is the probability that the ball lands in a black segment? (Round your answer to three decimal places.) (b) In the roulette wheel shown, black and red segments alternate. Suppose instead that the red segments were side-by-side and that the black segments were together. Does this increase the probability that the ball will land in a black segment? Explain. O No, if the segments were rearranged there would still be 18 black segments out of a total of 38, so the probability wouldn't change. O Yes, if the segments were rearranged there would be 18 black segments out of a total of 38, so the probability would change. Yes, if the segments were rearranged there would be 38 black segments out of a total of 38, so the probability would change. O No, if the segments were rearranged there would still be 28 black segments out of a total of 38, so the probability wouldn't change. (c) Suppose that you watch 1000 spins of a roulette wheel and note the color that results from each spin. What would be an indication that the wheel was not balanced? (Select all that apply.) O If the number of spins that landed on black was much less than the answer from part (a) times 1000. O If the number of spins that landed on black was much greater than the answer from part (a) times 1000. O If the number of spins that landed on black was approximately equal to the answer from part (a) times 1000.
A metal ball is tossed into the wheel as it is spinning, and the ball eventually lands in one of the 38 segments. Each segment has an associated color. Two segments are green. Half of the other 36 segments are red and the others are black. When a balanced roulette wheel is spun, the ball equally likely to land in any one of the 38 segments. (a) When a balanced roulette wheel is spun, what is the probability that the ball lands in a black segment? (Round your answer to three decimal places.) (b) In the roulette wheel shown, black and red segments alternate. Suppose instead that the red segments were side-by-side and that the black segments were together. Does this increase the probability that the ball will land in a black segment? Explain. O No, if the segments were rearranged there would still be 18 black segments out of a total of 38, so the probability wouldn't change. O Yes, if the segments were rearranged there would be 18 black segments out of a total of 38, so the probability would change. Yes, if the segments were rearranged there would be 38 black segments out of a total of 38, so the probability would change. O No, if the segments were rearranged there would still be 28 black segments out of a total of 38, so the probability wouldn't change. (c) Suppose that you watch 1000 spins of a roulette wheel and note the color that results from each spin. What would be an indication that the wheel was not balanced? (Select all that apply.) O If the number of spins that landed on black was much less than the answer from part (a) times 1000. O If the number of spins that landed on black was much greater than the answer from part (a) times 1000. O If the number of spins that landed on black was approximately equal to the answer from part (a) times 1000.
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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Transcribed Image Text:Roulette is a game of chance that involves spinning a wheel that is divided into 38 equal segments, as shown in the accompanying picture.
A metal ball is tossed into the wheel as it is spinning, and the ball eventually lands in one of the 38 segments. Each segment has an associated color. Two segments are green. Half of the other 36
segments are red and the others are black. When a balanced roulette wheel is spun, the ball is equally likely to land in any one of the 38 segments.
(a) When a balanced roulette wheel is spun, what is the probability that the ball lands in a black segment? (Round your answer to three decimal places.)
(b) In the roulette wheel shown, black and red segments alternate. Suppose instead that the red segments were side-by-side and that the black segments were together. Does this increase the
probability that the ball will land in a black segment? Explain.
O No, if the segments were rearranged there would still be 18 black segments out of a total of 38, so the probability wouldn't change.
O Yes, if the segments were rearranged there would be 18 black segments out of a total of 38, so the probability would change.
O Yes, if the segments were rearranged there would be 38 black segments out of a total of 38, so the probability would change.
O No, if the segments were rearranged there would still be 28 black segments out of a total of 38, so the probability wouldn't change.
(c) Suppose that you watch 1000 spins of a roulette wheel and note the color that results from each spin. What would be an indication that the wheel was not balanced? (Select all that apply.)
O If the number of spins that landed on black was much less than the answer from part (a) times 1000.
O If the number of spins that landed on black was much greater than the answer from part (a) times 1000.
O If the number of spins that landed on black was approximately equal to the answer from part (a) times 1000.
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