40% of a class are women. The probability that a woman likes the color blue is 10%. What is the probability that a person chosen from the class likes blue given a woman is chosen?
Answers
Given : 40% of a class are women.
The probability that a woman likes the color blue is 10%
To Find : probability that a person chosen from the class likes blue given a woman is chosen?
Solution:
The probability that a woman likes the color blue is 10%
probability that a person chosen from the class likes blue given a woman is chosen = 10 % = 0.1
( as its given that women is chosen and probability that a woman likes the color blue is 10% )
if probability that a person chosen from the class likes blue = (40/100)(10/100)
= 0.4 * 0.1
= -0.04
assuming that Men does not like blue color
probability that a person chosen from the class likes blue given a woman is chosen = 10 % = 0.1
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