SOLUTION: Nine percent of men and 0.25% of women cannot distinguish between the colors red and green. If six men are randomly selected, find the probability that exactly two of them cannot t

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Question 470899: Nine percent of men and 0.25% of women cannot distinguish between the colors red and green. If six men are randomly selected, find the probability that exactly two of them cannot tell red from green.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
Note: The probability of x successes in n trials is:
P = nCx* p%5Ex%2Aq%5E%28n-x%29 where p and q are the probabilities of success and failure respectively.
In this case p = .09 q = .91 n = 6
nCx = n%21%2F%28x%21%28n-x%29%21%29
P(exactly 2 out of 6 men...) = 6C2(.09)^2(.81)^4 = 15(.09)^2(.91)^4 = .0833