An individual with genotype AaBbCcddEe is crossed with another individ...
AaBbCcddEe × AabbCcDdEe
Here, each gene is crossed separately and the probability of the desired gene is obtained by multiplying the probability of each gene as shown below:
Aa x Aa --- AA Aa Aa aa, Probability of aa = 1/4
Bb x bb --- Bb Bb bb bb, Probability of bb = 2/4
Cc x Cc --- CC Cc Cc cc, Probability of cc = 1/4
dd x Dd --- Dd dd Dd dd, Probability of dd = 2/4
Ee x Ee --- EE Ee Ee ee, Probability of ee = 1/4
Probability of aabbccddee = 1/4 x 2/4 x 1/4 x 2/4 x 1/4 = 1/256
An individual with genotype AaBbCcddEe is crossed with another individ...
To determine the proportion of aabbccddee among the progeny of the cross between individuals with genotypes AaBbCcddEe and AabbCcDdEe, we need to consider the inheritance patterns of each trait and calculate the probability of each allele combination.
In this case, we have five different genes/traits: gene A with two alleles (A and a), gene B with two alleles (B and b), gene C with two alleles (C and c), gene D with two alleles (D and d), and gene E with two alleles (E and e).
Mendel's laws of inheritance state that alleles segregate independently during gamete formation, meaning that the alleles for each gene segregate randomly and combine randomly in the offspring. Therefore, we can determine the proportion of aabbccddee progeny by multiplying the probabilities of each allele combination.
Steps to calculate the proportion of aabbccddee progeny:
1. Determine the possible allele combinations for each gene in the parents:
- Parent 1 (AaBbCcddEe): Aa, Bb, Cc, dd, Ee
- Parent 2 (AabbCcDdEe): Aa, bb, Cc, Dd, Ee
2. Determine the possible allele combinations in the offspring by combining the alleles from each gene:
- Offspring: Aa, Aabb, Bb, Cc, Cc, dd, Dd, Ee, Ee
3. Calculate the probability of each allele combination:
- Probability of Aa: 1 (since it is guaranteed)
- Probability of Aabb: 1/2 * 1/2 = 1/4 (from gene A and gene B)
- Probability of Bb: 1/2 * 1/2 = 1/4 (from gene B)
- Probability of Cc: 1 (since it is guaranteed)
- Probability of dd: 1 (since it is guaranteed)
- Probability of Dd: 1/2 * 1/2 = 1/4 (from gene D)
- Probability of Ee: 1 (since it is guaranteed)
4. Multiply the probabilities of each allele combination to calculate the proportion of aabbccddee:
- Proportion of aabbccddee = Probability of Aa * Probability of Aabb * Probability of Bb * Probability of Cc * Probability of dd * Probability of Dd * Probability of Ee
- Proportion of aabbccddee = 1 * 1/4 * 1/4 * 1 * 1 * 1/4 * 1 = 1/64
Therefore, the proportion of aabbccddee among the progeny of this cross is 1/64, which corresponds to option D.
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.