Question

In: Biology

Organisms with the genotypes AABbCcDd and AaBbCcDd are crossed. What are the expected proportions of the...

Organisms with the genotypes AABbCcDd and AaBbCcDd are crossed. What are the expected proportions of the following progeny?

              a. A_B_C_D_

              b. AabbCcDd

              c. a phenotype identical to either parent

              d. A_B_ccdd

Solutions

Expert Solution

Hi
These kind of question can be answered using probability.
When the parents AABbCcDd and AaBbCcDd are crossed, we can get many different type of progeny. Simplest way to determine the type of progeny is to consider each group of alleles at a time. Note that AA or Aa show same phenotype, as A is dominant over a. ( similar rule applies to rest of the genes as well).
Let us consider AA x Aa; The gametes formed are (A) from first parent and (A, a) from second parent. When these two gamets mate, we can get AA and Aa genotypes. So probability to get AA or Aa combination is 1. probabilty to get Aa only = 1/2
SImilarly, for Bb x Bb, the progeny possible are: BB, Bb, Bb and bb. So chance to get BB or Bb = 3/4. chance to get bb only or BB only = 1/4.; chance to get Bb only = 1/2
Similarly, for Cc x Cc, chance to get CC or Cc = 3/4
Similarly, for Dd x Dd , chance to get DD or Dd = 3/4.

a. So in total probability to get A-B-C-D- combination = 1x 3/4 x 3/4 x 3/4 = 27/64 progenies.


b. Chance to get AabbCcDd:
Aa = 1/2.
bb= 1/4
Cc= 1/2
Dd = 1/2
total probability = 1/2 x 1/4 x 1/2 x 1/2 = 1/32 progenies.

c. Phenotypically identical to parents.
It will be same as a.

d. A-B-ccdd
= 1 x 3/4 x 1/4 x 1/4
= 3/64


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