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Practice_Problems_Midterm1

# A scores if he gets if he gets 2 balls of the same

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Unformatted text preview: ted. Then, the three balls are placed back into the box. Then, B picks 3 balls without replacement, and the colors of the balls picked are noted. A scores if he gets if he gets 2 balls of the same color, and one of a different color. B scores if she gets at least 2 red balls. a) What is the probability that A scores? What is the probability that B scores? b) Let us say that A is declared the winner if A scores and B does not score. Similarly, B is declared the winner if B scores and A does not score. If both of them score, or neither of them score, then they toss a fair coin to decide the winner. A is declared the winner if the coin lands heads, and B is declared the winner if the coin lands tails. What is the probability that A is declared the winner? c) A is declared the winner if A scores and B does not score. Similarly, B is declared th...
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