SOLUTION: according to the theory of genetics a certain cross of guinea pigs will result in red,black,and white offspring in the ratio 8:4:4.find the probability that among 8 such offspring

Question 927614: according to the theory of genetics a certain cross of guinea pigs will result in red,black,and white offspring in the ratio 8:4:4.find the probability that among 8 such offspring 5 will be red ,2 black,and 1 white.
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
red,black,and white offspring in the ratio 8:4:4 ,
P(red) = 8/16 = 1/2
P(black) = 4/16 = 1/4
P(white) = 4/16 = 1/4
Each birth an Independent Event(with a probability of its own)
P(5 will be red ,2 black,and 1 white.) = (1/2)^5(1/4)^2(1/4)
........
Another example: 5 children...probability of 3G and 2B = (1/2)^3(1/2)^2 = (1/2)^5
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