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Standard XII

Mathematics

Exhaustive Events

If A and B ar...

Question

If A and B are two independent events, then write P (A ∩ $B$ ) in terms of P (A) and P (B).

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Solution

$A and B are two independent events. ∴ P (A \cap \bar{B}) = P (A) P (\bar{B}) = P (A) [1 - P (B)] = P (A) - P (A) P (B)$

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If A and B are two independent events, then write P (A ∩ B) in terms of P (A) and P (B).

A and B are two independent events.∴ PA∩B¯=PAPB¯=PA1-PB=PA-PAPB

If A and B are two independent events, then write P (A ∩ $B$ ) in terms of P (A) and P (B).

$A and B are two independent events. ∴ P (A \cap \bar{B}) = P (A) P (\bar{B}) = P (A) [1 - P (B)] = P (A) - P (A) P (B)$