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 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
Updated On: Jan 30, 2025
- 0.05
- 0.04
- 0.02
- 0.08
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The Correct Option is C
Solution and Explanation
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
= \(\frac{1}{4}\times1\times5\times\frac{2}{5}\)
= \(0.02\)
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