Question

A class consists of 100 students; 25 of them are girls and 75 boys; 20 of them are rich and the remaining poor; 40 of them are fair-complexioned. The probability of selecting a fair- complexioned rich girl is

• A. 0.05
• B. 0.04
• C. 0.02
• D. 0.08

Answer 1

The Correct Option is C

It is given that,
Total students = 100
Girls = 25, Boys = 75
Rich = 20
Poor = 80
Fair complexion = 40, Dark = 60
Probability of selecting:
a girl = \(\frac{25}{100}\) 
= \(\frac{1}{4}\)
a rich person = \(\frac{20}{100}\) 
= \(\frac{1}{5}\)
a fair person = \(\frac{40}{100}\) 
= \(\frac{2}{5}\)

Therefore, Probability of selecting a fair complexioned rich girl is 
= \(\frac{1}{4}\times1\times5\times\frac{2}{5}\) 
= \(0.02\)