If the events A and B are mutually exclusive, then P ( A B ) = - Vidyadip

MCQ

If the events $A$ and $B$ are mutually exclusive, then $P\left( {\frac{A}{B}} \right) = $

✓
$0$
B
$1$
C
$\frac{{P\,(A \cap B)}}{{P\,(A)}}$
D
$\frac{{P\,(A \cap B)}}{{P\,(B)}}$

✓

Answer

Correct option: A.

$0$

a
(a) $P\left( {\frac{A}{B}} \right) = \frac{{P(A \cap B)}}{{P(B)}}$

Since $A$ and $B$ are mutually exclusive.

So, $P(A \cap B) = 0$.

Hence $P\left( {\frac{A}{B}} \right) = \frac{0}{{P(B)}} = 0$.

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