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What is the probability that a mating between thesetwo individuals will produce a child, regardless of sex,that has hemophilia?

Question

What is the probability that a mating between these two individuals will produce a child, regardless of sex, that has hemophilia?

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Solution

To determine the probability that a mating between two individuals will produce a child with hemophilia, we first need to understand the genetic background of hemophilia.

1. ### Break Down the Problem

  1. Identify the inheritance pattern of hemophilia (it is typically X-linked recessive).
  2. Determine the genotypes of the parents. Usually, males have one X chromosome (XY) and females have two (XX).
  3. Classify the possible alleles: X^h (hemophilia) and X^H (normal allele).

2. ### Relevant Concepts

  • Genotypes:

    • Males: can either be X^hY (hemophiliac) or X^HY (normal).
    • Females: can either be X^HX^H (normal), X^HX^h (carrier), or X^hX^h (hemophiliac).
  • Punnett Square: This tool can be used to visualize the probability of offspring genotypes when parents' genotypes are known.

3. ### Analysis and Detail

Assuming:

  • Case 1: Father is X^hY (hemophiliac) and Mother is X^HX^H (normal female)

    • Offspring probabilities:
      • X^h from Father and X^H from Mother → X^hX^H (carrier female)
      • Y from Father and X^H from Mother → X^HY (normal male)
    • Probability of hemophilia = 0% (no offspring with X^hX^h)
  • Case 2: Father is X^hY and Mother is X^HX^h (carrier female)

    • Offspring probabilities:
      • X^h from Father and X^H from Mother → X^hX^H (carrier female)
      • X^H from Father and X^h from Mother → X^HX^h (carrier female)
      • Y from Father and X^H from Mother → X^HY (normal male)
      • Y from Father and X^h from Mother → X^hY (hemophiliac male)
    • Probability of hemophilia = 25% (1 out of 4)
  • Case 3: Father is X^HY (normal male) and Mother is X^HX^h (carrier female), follows the same logic as above.

4. ### Verify and Summarize

  • Depending on the genotype of the parents, the probabilities change. The most likely cases give either a 0% chance or a 25% chance of a child having hemophilia.

Final Answer

The probability of producing a child with hemophilia varies:

  • 0% if the mother is normal (X^HX^H).
  • 25% if the mother is a carrier (X^HX^h) and the father has hemophilia (X^hY).

This problem has been solved

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