If two events, A and B, are mutually exclusive, then $$P ( \mathrm {~A} \text { and } \mathrm { B } ) = P ( A ) \cdot P ( B )$$

Question

Quizplus · Accepted Answer

If two events are mutually exclusive, it means they cannot occur at the same time, so the probability of both events occurring together is zero. Therefore, the equation should be P(A and B) = 0, which means P(A) times P(B) must also be zero, unless one of them has a probability of zero.

If Two Events, a and B, Are Mutually Exclusive, Then P( A and B)=P(A)⋅P(B)P ( \mathrm {~A} \text { and } \mathrm { B } ) = P ( A ) \cdot P ( B )P( A and B)=P(A)⋅P(B)

If Two Events, a and B, Are Mutually Exclusive, Then $P ( \mathrm {~A} \text { and } \mathrm { B } ) = P ( A ) \cdot P ( B )$