If A and B are two mutually exclusive events, then what is P(A B) equal to?

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Question: Answered & Verified by Expert

If $A$ and $B$ are two mutually exclusive events, then what is P(A B) equal to?

MathematicsProbabilityNDANDA 2011 (Phase 1)

Options:

A 0
B $P(A)+P(B)$
C $P(A) P(B)$
D $\mathrm{P}(\mathrm{A}) P\left(\frac{B}{A}\right)$

Solution:

2724 Upvotes Verified Answer

The correct answer is: 0

Since, A and B are mutually exclusive events. $\therefore \quad \mathrm{P}(\mathrm{AB})=\mathrm{P}(\mathrm{A} \cap \mathrm{B})=0$

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