Question

Events E and F are such that P(not E or not F) = 0.25, State whether E and F are mutually exclusive.

Answer 1

ANS is "NO"

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In the general case,
P(A or B) = P(not A and not B)

Thus, in this case:
0.25 = P(not E or not F) == P(E and F)

as we know that P(A and B) = 0, if and only if events A and B are mutually exclusive. Since P(E and F)= 0.25, therefore E and F are not mutually exclusive

Answer 2

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