Probability Question 234

Question: Suppose that A, B, C are events such that $ P(A)=P(B)=P(C)=\frac{1}{4},P(AB)=P(CB)=0,P(AC)=\frac{1}{8}, $ then $ P(A+B)= $

[MP PET 1992]

Options:

A) 0.125

B) 0.25

C) 0.375

D) 0.5

Show Answer

Answer:

Correct Answer: D

Solution:

$ P(A+B)=P(A)+P(B)-P(AB) $

$ =\frac{1}{4}+\frac{1}{4}-0=\frac{1}{2}. $