Let X be the product of the numbers on two dice rolled. (a) Does X assume all
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Let X be the product of the numbers on two dice rolled.
(a) Does X assume all values between 1 and 36?
(b) Trying to provide all calculations in mind (they are easy), find P(X ≤ 36), P(X < 36), P(X ≤ 30), P(X < 30), P(X = 1).
(c) Find the probability that X is a prime number. (By definition, one is not a prime.)
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