What is the probability of aabbccdd in a tetrahybrid cross

Question Details till 22/10/2022

Question
Chapter NamePrinciples Of Inheritance And Variatio
SubjectBiology (more Questions)
Class12th
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Inheritance is the transfer of genes from the parents to the offspring. The inheritance occurs via sexual reproduction, and the offspring generated from the parents are known as F1 offspring.

F2 offspring are obtained by crossing the F1 hybrid.

In general, the probability of occurrence of a homozygous trait “XX or xx” is ¼, and the probability of occurrence of a heterozygous trait “Xx” is ½.

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The genotype of F1 individuals in a tetrahybrid cross is AaBbCcDd. Assuming independent assortment of these four genes, what are the probabilities that F2 offspring will have the following genotypes? a)aabbccdd b)AaBbCcDd c)AABBCCDD d)AaBBCcDd

e)AaBBCCdd

Please help me on tackling problems like this in a systematic way.

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Please see attached file where formatting is conserved.
If you do not have to list the alleles in your answers, this would be a better and easier way to calculate the probabilities.

The genotype of F1 individuals in a tetrahybrid cross is AaBbCcDd.  Assuming independent assortment of these four genes, what are the probabilities that F2 offspring will have the following genotypes? a)aabbccdd b)AaBbCcDd c)AABBCCDD d)AaBBccDd

e)AaBBCCdd

We have four groups

A Parent 1 Parent 2 A A

a a

Possible combinations A A A a a A

a a

Thus there is a total of 4 combinations

B Parent 1 Parent 2 B B

b b

Possible combinations B B B b b B

b b

Thus there is a total of 4 combinations

C Parent 1 Parent 2 C C

c c

Possible combinations C C C c c C

c c

Thus there is a total of 4 combinations

D Parent 1 Parent 2 D D

d d

Possible combinations D D D d d D

d d

Thus there is a total of 4 combinations

A genotype has the 4 groups together
Therefore possible number of ways of forming the genotype = 4 x 4 x 4 x 4= 256

Probability is the number of ways in which the desired ...

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