Probability Question 232

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

[MNR 1987; UPSEAT 2000]

Options:

A) True

B) Wrong

C) Could be either

D) Do not know

Show Answer

Answer:

Correct Answer: B

Solution:

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

$ =\frac{2}{3}+\frac{1}{4}+\frac{1}{6}=\frac{13}{12} $ , which is greater than 1. Hence the statement is wrong.