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Genes a and b are 10 map units apart, b and c are 20 map units apart, and a and c are 30 map units apart. If a triple heterozygote is testcrossed, among 1,000 progeny, how many are expected to result from single crossovers between a and b if there is no interference? a. 20; b. 40; c. 60; d. 80; e. none of the above

User Elsalex
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6 votes

Answer:

d. 80

Step-by-step explanation:

If the triple heterozygote is in linkage phase ABC/abc, the gametes it will produce are:

  • ABC: Parental
  • abc: Parental
  • Abc: SCO (a-b)
  • aBC: SCO (a-b)
  • ABc: SCO (b-c)
  • abC: SCO (b-c)
  • AbC: DCO
  • aBc: DCO

Distance (ab) = 10 mu;

Distance (bc) = 20 mu.

There is no interference, so we can calculate recombination frequency (RF) between the genes a and b as the probability that a crossover happens between a and b, and no crossover happens between b and c:

RF ab = p(COab) × p(no CObc)


RF[ab]=(Distance[ab])/(100) * (1-(Distance[bc])/(100))\\RF[ab]=0.1*(1-0.2)\\RF=0.1*0.8\\RF=0.08

In a progeny of the test cross of 1000 individuals, there will be 1000×0.08= 80 individuals resulting from a single crossover between a and b.

User SlaneR
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