Events A and B are said to be mutually exclusive if:

MCQ

Events $A$ and $B$ are said to be mutually exclusive if:

✓
$\ce{P (A U B) = P A. + P B.}$
B
$\ce{P (A ∩ B) = P A. \times P B.}$
C
$\ce{P(A U B)} = 0$
D
None of these

✓

Answer

Correct option: A.

$\ce{P (A U B) = P A. + P B.}$

If $A$ and $B$ are mutually exclusive events,
Then $\ce{P(A ∩ B)} = 0$
Now, by the addition theorem,
$\ce{P(A U B) = PA. + PB. – P(A ∩ B)}$
$\Rightarrow \ce{P(A U B) = PA. + PB}$

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