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Thirty percent of the 20 people in the m...

Thirty percent of the 20 people in the math club have blonde hair. If 3 people are selecfted at random from the club what is the probability that none has blonde hair?

A

0.1

B

0.25

C

0.32

D

0.4

Text Solution

Verified by Experts

The correct Answer is:
C
Thirty percent of 20 is 6. therefore, 14 people in the math club don't have blonde hair. There are `._(14)C_(3)` ways of choosing 3 of these 14 people and `._(20)C_(3)` ways of choosing 3 of 20 people. The ratio of these two numers is `(364)/(1140)=0.23`, the probability of choosing 3 people who don't have blonde hair.
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