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

Respuesta :

Answer:

a) [tex]\frac{27}{64}[/tex]

b)[tex]\frac{1}{32}[/tex]

c) [tex]\frac{27}{64}[/tex]

d) [tex]\frac{3}{64}[/tex]

Explanation:

The correct question is

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

Solution

In such question the probability for each allele pair is to be determines separately

For instance,

AA * Aa will produce AA, Aa, AA, Aa this means that all the the probability of getting both AA and Aa is [tex]\frac{1}{2}[/tex]

Like wise when Bb and Bb are crossed, BB, Bb, Bb, and bb are produced. So the probability of getting dominant trait i.e BB or Bb is [tex]\frac{3}{4}[/tex] and recessive trait i.e bb is [tex]\frac{1}{4}[/tex]

Chance to get homozygous bb only or BB only is [tex]\frac{1}{4}[/tex]

and chance of getting Bb is  [tex]\frac{1}{2}[/tex]

Like Bb and Bb cross, the same will be the probabilities for Cc and Cc cross and Dd and Dd cross

Part A)

[tex]\frac{1}{4} * \frac{3}{4} * \frac{3}{4} * \frac{3}{4} \\= \frac{27}{64}[/tex]

Part B)

[tex]\frac{1}{4} * \frac{1}{2} * \frac{1}{2}* \frac{1}{2}\\= \frac{1}{32}[/tex]

Part C)

[tex]\frac{1}{4} * \frac{3}{4} * \frac{3}{4} * \frac{3}{4} \\= \frac{27}{64}[/tex]

Part D)

[tex]\frac{3}{4} * \frac{1}{4} * \frac{1}{4} * \frac{1}{4} \\= \frac{3}{64}[/tex]