In a certain town, 60% of the people are female. 30% of the females play soccer,...
In a certain town, 60% of the people are female. 30% of the females play soccer, and 40% of the males people play soccer. You pick a person at random from the town. What is the probability that the person you picked is female given that they play soccer? You may leave your answer unsimplified.
Homework Answers
Solution :
Given that,
P( female) = 60% = 0.60
P(female they play soccer) = 30% = 0.30
The probability that the person you picked is female given that they play soccer is ,
= 0.60 / (0.60 + 0.30)
= 0.60 / 0.90
= 0.667
Probability = 0.667
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