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Two real numbers are chosen independently and at random from the interval [0, 1]. a) Find the probability that the maximum of the two

Two real numbers are chosen independently and at random from the interval [0, 1]. a) Find the probability that the maximum of the two numbers is greater than 1. b) Find the probability that the minimum of the two numbers is less than 1. c) Find the probability that the maximum is greater than d) Find the probability that the maximum is greater than and the minimum is less than 1. given that the minimum is less than 1.

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