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Mutually Exclusive Events

If two events...

Question

If two events A and B are mutually exclusive, then P(A/B) = ____________.

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Solution

for two mutually exclusive events A and B, $P (A \cap B)$ = 0
$∴ P (\frac{A}{B}) = \frac{P (A \cap B)}{P (B)} = 0$ .

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P (A / B) = P (B / A)

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0 < P (A) < 1, 0 < P (B) < 1

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If A and B are two mutually exclusive and exhaustive events, then $P (B) = 1 - P (A) .$

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