Question

In rabbits, short hair is determined by a dominant allele S, whereas long hair is determined...

In rabbits, short hair is determined by a dominant allele S, whereas long hair is determined by a recessive allele s. Suppose that a pure short-haired rabbit is bred with a long-haired rabbit, and an offspring is picket at random, and mated with a long-haired rabbit.

1. What is the probability that a randomly chosen second generation rabbit will be short-haired?

2. What is the probability that a randomly chosen second generation rabbit will be long-haired?

3. What is the probability that a randomly chosen second generation short-haired rabbit will be homozygous?

Math   Statistics-And-Probability   
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Answer #1

In rabbits short hair (SS) is dominant allele whereas long hair (ss) is recessive allele.

When a pure short-haired rabbit is bred with a long-haired rabbit the offspring produced in the F1 generation are:

Ss,Ss,Ss,Ss

All the offspring in the F1 generation are heterozygous short haired.

now if a randomly chosen offspring (Ss) is mated(crossed) with long haired (ss) rabbit the offspring produces are:

Ss,Ss,ss,ss

Therefore the sample space contains 4 outcome out of which:

2 are heterozygous short haired and 2 are homozygous long haired.

1) The probability that a randomly chosen second generation rabbit will be short-haired = 2/4=0.50

2) The probability that a randomly chosen second generation rabbit will be long-haired=2/4=0.50

3) The probability that a randomly chosen second generation short-haired rabbit will be homozygous=2/4=0.50

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