Question: 2.4.6 Let A, B, C, D , and E be five events such that P(A) = P(B) = . ' ' = P ( E

2.4.6 Let A, B, C, D , and E be five events such that P(A) = P(B) = . ' ' =

P ( E ) = k and P(A n B ) = P(A n C ) = ' . . = P(D f l E) = p . Moreover at least one of the events A, . . . , E must occur, and the intersection of any three events among A, B, . . . , E is empty. (i) Find p if k = 0.3. (ii) Omit the assumption that at least one of the events must occur and determine all possible values of k if it is known that p = 0.01.

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