What is the probability that a gamete (egg or sperm)from this population carries
ID: 316188 • Letter: W
Question
What is the probability that a gamete (egg or sperm)from this population carries a C^R allele? That a gamete from this population carries a C^w allele? Of all the offspring resulting from all the matings in this population, what percentage should have the genotype C^RC^R? What percentage should have the genotype C^WC^W? What percentage should have the genotype C^RC^W? Comparing p and q in parents and offspring In the offspring generation, what is the frequency of the C^R allele? In the offspring generation, what is the frequency of the C^W allele?Explanation / Answer
1. The probability that a gamete (egg or sperm) from this population carries a CR allele is
2. That a gamete from this population carries a CW allele is
3. Of all the offspring resulting from all the matings in this population, the percentage of CRCR genotype is
the frequency(p) of the CR allele is 0.8
the probability of a CRCRoffspring is p2
so CRCR (p2) = 0.8 × 0.8 = 0.64, or 64%
4. The genotype CWCW percentage is
CW=0.2
q2 =
CWCW= 0.2 × 0.2 = 0.04, or 4%.
5. Percentage of CRCW genotype is
The probability of heterozygous genotype with a CRCW genotype is 0.8 × 0.2 = 0.16
and for CWCR genotype is 0.2 × 0.8 = 0.16
Therefore,
0.16 + 0.16 = 0.32 or 32% (for CRCW + CWCR)
or you can say that the probability of a CRCWoffspring is 2pq= 2 x 0.8 x 0.2=0.32
6. The frequency(p) of the CR allele in the offspring generation is
7. The frequency(q) of the CW allele in the offspring generation is
POINTS TO REMEMBER
If a population that has two alleles with frequencies p and q, then the total
frequencies of that population must be equal to 1, or 100% which means p + q = 1 so p = 1 q and q = 1 p.
The genotype frequencies must be equal to 1
p2 + 2pq + q2 = 1
0.64 + 0.32 + 0.04 = 1.0
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