Let n e N, c > 0. Suppose that A1,..., An and B1,...,Bn are two families of independent events in a probability space (2,2, P) such that Bk C Ak and : P(B¢) > P(A) for every k e {1,...,n}. Show that c· P(B1U…U Bn)> P(A¡UU An).

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