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Events A, B, C are such that P(A)=0.3, P...

Events A, B, C are such that `P(A)=0.3, P(B)=0.4, P(C )=0.8, P(A cap B)=0.08, P(A cap C)=0.28` and `P(A cap B cap C)=0.09`. If `P(A cup B cup C) ge 0.75`, show that, `0.23 le P(B cap C) le 0.48`.

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