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The genotype of F1 individuals in 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

Short Answer

Expert verified

(a) The probability of F2 offspring with the genotype aabbccdd is 1/256.

(b) The probability of F2 offspring with the genotype AaBbCcDd is 1/16.

(c) The probability of F2 offspring with the genotype AABBCCDD is 1/256.

(d) The probability of F2 offspring with the genotype AaBBccDd is 1/64.

(e) The probability of F2 offspring with the genotype AaBBCCdd is 1/128.

Step by step solution

01

Pattern of inheritance and probability of inheritance of traits

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 鈥淴X or xx鈥 is 录, and the probability of occurrence of a heterozygous trait 鈥淴x鈥 is 陆.

02

Explanation of part “a”

The given offspring is aabbccdd. All the traits are homozygous for the four recessive traits. Thus, the probability of the F2 offspring is as follows:

Probability=14141414=1256

03

Explanation of part “b”

The given F2 offspring is AaBbCcDd. All the given traits are heterozygous for each trait. Thus, the probability of the F2 offspring is as follows:

Probability=12121212=116

04

Explanation of part “c”

F2 offspring given in the question is AABBCCDD. The genotypic combination provided is homozygous for four dominant traits. Thus, the probability of the F2 offspring is as follows:

Probability=14141414=1256

05

Explanation of part “d”

F2 offspring given in the question is AaBBccDd. Aa and Dd are heterozygous for the traits, so they have a probability of 陆 each. BB and cc are homozygous for dominant and recessive traits, respectively, so they have a probability of 录 each.

Thus, the overall probability of the F2 offspring is as follows:

Probability=12121414=164

06

Explanation of part “e”

F2given in the question isAaBBCCdd. In this genotype, Aa is heterozygous for a trait with a probability is 1/2. BB, CC, and dd are homozygous for the traits, each with the probability of 录.

Thus, the overall probability of the F2 offspring is as follows:

Probability=12141414=1128

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Most popular questions from this chapter

In tigers, a recessive allele of a particular gene causes both an absence of fur pigmentation (a white tiger) and a cross-eyed condition. If two phenotypically normal tigers that are heterozygous at this locus are mated, what percentage of their offspring will be cross-eyed? What percentage of cross-eyed tigers will be white?

Flower position, stem length, and seed shape are three characters that Mendel studied. Each is controlled by an independently assorting gene and has a dominant and recessive expression, as indicated in Table 14.1. If a plant that is heterozygous for all three characters is allowed to self fertilize, what proportion of the offspring would you expect to be each of the following? (Note: Use the rules of probability instead of a huge Punnett square)

(a) homozygous for the three dominant traits

(b) homozygous for the three recessive traits

(c) heterozygous for all three characters

(d) homozygous for axial and tall, heterozygous for seed shape

What is the probability that each of the following pairs of parents will produce the indicated offspring? (Assume independent assortment of all gene pairs)

(a)AABBCCaabbccAaBbCc

(b) AABbCcAaBbCcAAbbCC

(c)AaBbCcAaBbCcAaBbCc

(d) aaBbCCAABbccAaBbCc

List all gametes that could be made by a pea plant heterozygous for seed color, seed shape, and pod shape (YyRrIi; see Table 14.1). How large a Punnett square would you need to draw to predict the offspring of a self-pollination of this 鈥渢rihybrid鈥?

A man has six fingers on each hand and six toes on each foot. His wife and their daughter have the normal number of digits. Remember that extra digits are a dominant trait. What fraction of this couple's children would be expected to have extra digits?

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