For a particular American football game, the probability of a team's quarterback throwing a completed pass on each throw is 3/10. What is the least number of times that the quarterback should throw the ball that will increase the probability of getting a completed pass at least once to more than 50%.\nOptions:\n(A) 10\n(B) 5\n(C) 2\n(D) 3\n(E) 1 Hmmm, my stream of consciousness:
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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 quarterback throws a completed pass at least once in 2 throws is 1- (7/10)^2 = 1 - 49/100 = 51/100 > 50% So, the answer is (C).
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