Probability Question 206
Question: 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
[UPSEAT 2004]
Options:
A) 0. 07
B) 0.08
C) 0. 09
D) 0. 12
Show Answer
Answer:
Correct Answer: C
Solution:
Here, $ P(R)=\frac{10}{100}=0.1 $ , $ P(F)=\frac{5}{100}=0.05 $
$ P(F\cap R)=\frac{3}{100}=0.03 $
Required probability = $ P(R)+P(F)-2P(F\cap R) $ = 0.1 + 0.05 ? 2(0.03) = 0.09.
BETA
