What proportion of the offspring will contain a multilocus g

What proportion of the offspring will contain a multi-locus genotype with at least one dominant (capital) allele? A. 0.990 B. 0.031 C. 0.999 D. 0.000 E. 0.125

Solution

Answer:C. 0.999

Explanation

AaBbCcDdEe × AaBbCcDdEe

[Probability of atleast 1 dominant allele = 1 - probability of no dominant allele]

Probability of no dominant allele-
Aa X Aa gives 1/4 aa.
Similary, 1/4 bb, 1/4 cc, 1/4 dd and 1/4 ee
= 1/4 X 1/4 X 1/4 X 1/4 X 1/4
= 1/1024.

So, our answer is 1-(1/1024) = 1023/1024
=0.999
=99.9%