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Question: In a certain population 10% of the people are rich, 5% are famous and 3% are rich and famous. The pr...

In a certain population 10% of the people are rich, 5% are famous and 3% are rich and famous. The probability that a person picked at random from the population is either famous or rich but not both, is equal to

A

0.07

B

0.08

C

0.09

D

0.12

Answer

0.09

Explanation

Solution

Here, P(R) = 10/100 = 0.1, P(F) = 5/100 = 0.05

P(F∩R) = 3100\frac { 3 } { 100 } = 0.03

∴ Required probability = P(R) + P(F) – 2P(F∩R)

= 0.1 + 0.05 – 2(0.03) = 0.09