Question

Among the members of a committee, there are 75% males and 25% females. The probability that a male member becomes the president is 0.25 and probability that a female member becomes the president is 0.4. Find the probability that the person selected at random becomes the president. [Hint: Person selected Is Male and becomes President OR is female and becomes President] Select the correct answer from above options

Answer 1

Let A:Male member = P(A) = 75 100 75 = 3 4 3 B: Female member =P(B) = 25 100 25 = 1 4 1 C: Member is a president P(C/A) = 0 25, P(Female president) = P(C/B) = 0.4 P(C) = P(Member is a president) = P(A) P(C/A) + P(B)P(C/B)