Let Tk(n) denote the number of partitions of the set {1,... ,n} into k nonempty subsets, where 1 ≤ k ≤ n. (See Theoretical Exercise for the definition of a partition.) Argue that
Exercise
Suppose that A and B are mutually exclusive events for which P(A) = .3 and P(B) = .5. What is the probability that
(a) either A or B occurs?
(b) A occurs but B does not?
(c) both A and B occur?
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