What is the probability that the child is affected?

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Discussion Overview

The discussion revolves around calculating the probability that a child is affected by an autosomal recessive trait based on a given pedigree. Participants are analyzing the probabilities associated with the inheritance patterns and the genotypes of the parents involved.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant states that the probability of the child being affected is calculated as 1/12 based on the assumption that II-3 is a carrier with a probability of 1/2 and II-4 has a probability of 1/3.
  • Another participant points out a potential error in identifying the generations, clarifying that II refers to the middle generation and III to the last generation.
  • There is a discussion about the probabilities of inheritance from the first generation, with one participant noting that the probability of inheritance of a mutant allele is 1/2 from one parent and 1 from the other.
  • Some participants emphasize that the odds of inheritance differ when considering one carrier and one non-carrier compared to two carriers, questioning the implications of the recessive nature of the gene.
  • One participant challenges the calculation of the probability of two carriers having an affected child, suggesting the use of a Punnett square for clarity.
  • Another participant expresses confusion regarding the provided answer of 1/36, indicating that their analysis does not yield this result.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the correct probability calculations, with multiple competing views and interpretations of the inheritance patterns and probabilities involved.

Contextual Notes

There are unresolved assumptions regarding the genotypes of the parents and the implications of the recessive trait, as well as differing interpretations of the probabilities associated with carrier status.

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Homework Statement


The following pedigree shows that the trait is autosomal recessive. The probability of carriers in the population is 1/3. What is the probability that the child of III-3 and 4 is affected?
X4pkM.png

2. Relevant info
The answer provided is 1/36.

The Attempt at a Solution


The probability of II-3 being a carrier is 1/2 and that of II-4 is 1/3. The probability of two carriers having an affected child is 1/2. So the probability that II-3 and II-4 are carriers and their child is affected is 1/2 x1/3 x1/2=1/12.

(Edited to remove typo.)
 

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Hm. There seems to be a problem with II versus III in your solution.
II is the middle gen. III is the last gen.

What is the probability of II3's inheritance from one I1? What is the probability from I2?
What is the total?
 
DaveC426913 said:
What is the probability of II3's inheritance from one I1? What is the probability from I2?
What is the total?

The probability of inheritance of a mutant allele is 1/2 from I-1 and 1 from I-2. The probability of II-3 being a carrier is 1/2.
 
OK, but one carrier and one not carrier don't have the same odds as two carriers.
Hint: what does it mean that the gene is recessive?
How do recessive genes manifest?
 
DaveC426913 said:
OK, but one carrier and one not carrier don't have the same odds as two carriers.
Hint: what does it mean that the gene is recessive?
How do recessive genes manifest?
Recessive alleles manifest only when they occur in a pair. To be honest I'm not able to follow your indication.
 
Last edited:
SanjuktaGhosh said:
The probability of II-3 being a carrier is 1/2
This is incorrect. It may be helpful to try writing out the genotypes of the parents (I1 and I2), then trying to infer what the genotype of II3 must be.

SanjuktaGhosh said:
The probability of two carriers having an affected child is 1/2
This is incorrect. Try drawing a Punnet square of the cross.

SanjuktaGhosh said:
The answer provided is 1/36.
When I analyze the problem, I do not get this answer.
 
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