SOLUTION: 1/10 of men and 1/7 of women are color-blind. A person is randomly selected. Assume males and females to be in equal numbers. What is the probability that the selected person i

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Question 327642: 1/10 of men and 1/7 of women are color-blind. A person is randomly selected.
Assume males and females to be in equal numbers.
What is the probability that the selected person is color-blind?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the probability of a male being color blind is 1/10
the probability of a female being color blind is 1/7
the probability of a person being selected being male is .5
the probability of a person being selected being female is .5

50% of the time you will select a male.
50% of the time you will select a female.

p(male) = .5
p(female) = .5
p(person) = .5 + .5 = 1

p(color blind male) = 1/10 = .1
p(color blind female) = 1/7 = .142857143
p(color blind person) = .5*.1 + .5*.142857143 = .121428571