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A, B and C are events associated with a ...

A, B and C are events associated with a random experiment such that
P(A) = 0.3,
P(B) = 0.4, P(C) = 0.8, `P(AcapB)` = 0.08, `P(A cap C)` =0.28 and `P(AcapBcapC)` = 0.09. If
`P(AcupBcupC) ge 0.75` Then prove that `P(B cap C)` lies in the interval `[0.23, 0.48]`.

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