Question: During a particular baseball game, the probability of a team's pitcher throwing a strike on each throw is 2/5. What is the least number of times that the pitcher should pitch the ball that will increase the probability of getting a strike at least once to more than 50%.\nOptions:\n(A) 3\n(B) 2\n(C) 1\n(D) 4\n(E) 5 Let's think first. Some random reasoning:
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Rule of Subtraction: P(A) = 1 - P(A')\nRule of Multiplication: P(A ∩ B) = P(A) P(B)\nThe probability that the pitcher throws a strike at least once in 2 guesses is 1- (3/5)^2 = 1 - 9/25 = 16/25 > 50%. The final answer: (B).
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