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Chapter 2: Problem 18

What is the probability that, in an organism with a haploid number of \(10,\) a sperm will be formed that contains all 10 chromosomes whose centromeres were derived from maternal homologs?

Short Answer

Expert verified
Answer: \(\frac{1}{1024}\)

Step by step solution

01

Understanding Independent Events

Independent events are those events that do not affect the occurrence of one another. In this case, the inheritance of each chromosome with a centromere from maternal homologs is independent of the others.
02

Calculating the Probability for a Single Chromosome

For a single chromosome, there are two possibilities: it can either have a centromere from the maternal homolog or from the paternal homolog. Since these possibilities are equally likely, the probability of having a centromere from the maternal homolog for a single chromosome is \(\frac{1}{2}\).
03

Using the Multiplication Rule for Independent Events

Since we have 10 chromosomes and the events are independent, the probability of all chromosomes having centromeres from maternal homologs is simply the multiplication of the probabilities for each chromosome: \( \text{Probability} = \frac{1}{2} \times \frac{1}{2} \times ... \times \frac{1}{2} = \left(\frac{1}{2}\right)^{10}\)
04

Calculate the Final Probability

Now we can calculate the probability: \( \text{Probability} = \left(\frac{1}{2}\right)^{10} = \frac{1}{1024}\) So the probability that a sperm will be formed containing all 10 chromosomes whose centromeres were derived from maternal homologs is \(\frac{1}{1024}\).

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Most popular questions from this chapter

You are given a metaphase chromosome preparation (a slide) from an unknown organism that contains 12 chromosomes. Two that are clearly smaller than the rest appear identical in length and centromere placement. Describe all that you can about these chromosomes.

The nuclear DNA content of a single sperm cell in Drosophila melanogaster is approximately 0.18 picogram. What would be the expected nuclear DNA content of a primary spermatocyte in Drosophila? What would be the expected nuclear DNA content of a somatic cell (non-sex cell) in the Gl phase? What would be the expected nuclear DNA content of a somatic cell at metaphase?

Explain why meiosis leads to significant genetic variation while mitosis does not.

If one follows 50 primary oocytes in an animal through their various stages of oogenesis, how many secondary oocytes would be formed? How many first polar bodies would be formed? How many ootids would be formed? If one follows 50 primary spermatocytes in an animal through their various stages of spermatogenesis, how many secondary spermatocytes would be formed? How many spermatids would be formed?

How are chromosomes named on the basis of their centromere placement?
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