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5. Let Ω = { 1, 2, 3, . j be the countably infinite sample space whose elements (outcomes) are the positive integers. For each positive integer n, define the event An k k is a multiple of n \ (a) Find n and m such that An-Ag n A4 and Am-A6 A9. (b) If P((k]) -fnd the probability of the event As k-1 Note: an exact answer is required here; if you write a program to obtain answers of the form 0210526.. you will receive no credit.

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