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?
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
- Identify the inheritance pattern of hemophilia (it is typically X-linked recessive).
- Determine the genotypes of the parents. Usually, males have one X chromosome (XY) and females have two (XX).
- 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).
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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)
- Offspring probabilities:
-
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)
- Offspring probabilities:
-
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).
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