1) Suppose that goats have one gene that codes for color, where A is brown and a
ID: 190465 • Letter: 1
Question
1) Suppose that goats have one gene that codes for color, where A is brown and a is white. The goats also have another gene that codes for height, where B is tall and b is short. If these two genes are unlinked, what is the probability that a cross between Aa Bb × Aa bb parents will produce three out of five offspring that are white and tall? Enter your answer as a decimal, rather than as a percentage.
2) Suppose that two parents are both heterozygous for sickle cell anemia, which is an autosomal recessive disease. They have seven children. Use the binomial theorem to determine the probability that three of the children have sickle cell anemia and four of the children are healthy. Round your answer to the nearest hundredth.
Explanation / Answer
2) Parental Xx Xx
offspring genotypes are XX,Xx,Xx,xx which means (3/4)75% chance of healthy and (1/4)25% chance sick.
7!/ 3!(7-3)! * (3/4)4 * (1/4)3 = 35* (81/256)*(1/64) = 0.108
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