albinism is an autosomal recessive condition characterized by absence of melanin pigment from the skin, eye...

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albinism is an autosomal recessive condition characterized by absence of melanin pigment from the skin, eye...

albinism is an autosomal recessive condition characterized by absence of melanin pigment from the skin, eye and hair. Two carriers of albinism marry and plan to have FOUR children. Assume a 1:1 sex ratio.What is the probability that at least 2 children will be normal?

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Answer 1

Answer #1

Gentoype of affected individual = aa

Genotype of normal individual = AA, Aa (carrier)

Aa × Aa

Gametes	A	a
A	AA (normal)	Aa (normal, carrier)
a	Aa (normal, carrier)	aa (affected)

Probability of normal individual = 3/4

Probability of affected individual = 1/4

Probability that atleast 2 children will be normal = 2 children will be normal + 3 children will be normal + 4 children will be normal

Using combinations

4C2 (3/4)^2 (1/4)^2 + 4C3 (3/4)^3 (1/4)^1 + 4C4 (3/4)^4 (1/4)^0

= (4!/2!2!) (3^2)/(4^4) + (4!/3!1!) (3^3)/(4^4) + (4!/4!0!) (3^4)/(4^4)

= (4×3/2)(9)/(256) + (4)(27)/(256) + (1)(81)/(256)

= (63)/256 + (108)/256 + (81)/256

= 252/256

= 0.984

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Answer 2

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