Genetic Probability (Binomial Expansion)

AI Thread Summary
The discussion focuses on calculating the probability of having two boys and two girls, with one boy being albino, given one parent is albino and the other is a heterozygous carrier. The binomial expansion coefficients for this scenario are noted as 1, 4, 6, 4, 1. The participant understands how to calculate the probability of gender distribution but struggles with incorporating the albino trait probability, which is 50% for the children. It is suggested to calculate the probability that the two girls do not have albinism while ensuring one of the boys does. The key takeaway is the need to combine binomial probabilities to account for both gender and albinism traits.
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Homework Statement



I'm stuck on a problem with two variables in it. The question wants to know what's the probability of getting 2 boys and 2 girls, with one of the boys being albino. They say one parent is albino and the other is a heterozygous carrier, so the change of getting it is 50% in the children.
So by binomial expansion, it's 1 4 6 4 1. I know the two girls and two boys is the middle term with 6(p^2)(q^2) but with q and p being getting a boy or girl at .50 each. But how do I encompass the albino probability in this? Multiply each child by .50?

Homework Equations



(p^4)+4(p^3)(q)+6(p^2)(q^2)+4(q)(p^3)+(q^4)

The Attempt at a Solution


I can easily find the probability of getting two girls and two boys, I would simply use the 6(p^2)(q^2) with p and q being .50 respectively. I just don't know how to factor in the albino part.
 
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Something like that. You should multiply with another binomial probability regarding the 4 children with "albino chromosome".
 
AGNuke said:
Something like that. You should multiply with another binomial probability regarding the 4 children with "albino chromosome".

It might be easier to calculate the probability that the two girls lack albinism and the probability that one of the boys has albinism.
 
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