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

MCQ

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

A
P (A U B) = P A. + P B.
B
P (A ∩ B) = P A. × P B.
C
P(A U B) = 0
D
None of these

✓

Answer

P (A U B) = P A. + P B.

Solution:

If A and B are mutually exclusive events,

Then P(A ∩ B) = 0

Now, by the addition theorem,

P(A U B) = PA. + PB. – P(A ∩ B)

⇒ P(A U B) = PA. + PB

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