The gene B for Brown Eyes is dominant and can be found in individuals with an al

Question

The gene B for Brown Eyes is dominant and can be found in individuals with an allele makeup of BB or Bb. Blue eyes are recessive genes and are mainfest on individuals with an allele makeup of bb. Assume independence. a. A blue eyed and brown eyed couple produce 3 offspring. What is the probability that all three offspring have blue eyes? consider that the brown eyed parent has 1/3 chance of being BB. b. A blue eyed and brown eyed couple produce 1 offspring. What is the probability that one parent was Bb, given that the baby has brown eyes? consider the brown eyed parent has a 1/3 chance of being BB. The gene B for Brown Eyes is dominant and can be found in individuals with an allele makeup of BB or Bb. Blue eyes are recessive genes and are mainfest on individuals with an allele makeup of bb. Assume independence. a. A blue eyed and brown eyed couple produce 3 offspring. What is the probability that all three offspring have blue eyes? consider that the brown eyed parent has 1/3 chance of being BB. b. A blue eyed and brown eyed couple produce 1 offspring. What is the probability that one parent was Bb, given that the baby has brown eyes? consider the brown eyed parent has a 1/3 chance of being BB. a. A blue eyed and brown eyed couple produce 3 offspring. What is the probability that all three offspring have blue eyes? consider that the brown eyed parent has 1/3 chance of being BB. b. A blue eyed and brown eyed couple produce 1 offspring. What is the probability that one parent was Bb, given that the baby has brown eyes? consider the brown eyed parent has a 1/3 chance of being BB.

Explanation / Answer

P (Brown eye) = 2/3 and P (blue eye) = 1/3.

Answer a

P (all three offspring have blue eyes) = 1/3*1/3*1/3 = 1/27.

Answer b

P (one parent was Bb, given that the baby has brown eyes) = P (one parent was Bb) = 1/3.

Thanks.

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