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Question: The probabilities of three mutually exclusive events are 2/3, 1/4 and 1/6. The statement is...

The probabilities of three mutually exclusive events are 2/3, 1/4 and 1/6. The statement is

A

True

B

Wrong

C

Could be either

D

Do not know

Answer

Wrong

Explanation

Solution

Since here P(A+B+C)=P(A)+P(B)+P(C)P ( A + B + C ) = P ( A ) + P ( B ) + P ( C )

=23+14+16=1312= \frac { 2 } { 3 } + \frac { 1 } { 4 } + \frac { 1 } { 6 } = \frac { 13 } { 12 }, which is greater than 1.

Hence the statement is wrong.