destroyer bio question

[far123]

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228. a certain automosal recessive condition is seen in approximately 1 in every 50 people. but are symptom free. if a male and female are both carriers of the gene, what is the probability that they have a disease child?
it says that each parent has 1/50 chance to carry the gene, but I don't know how u get this conclusion, since the question stated that the parents are carriers.
(.02)(.02)(.25)*100=.01%???
any body knows why plz?

 

[Orgodox]

Do a search this question came up like 2 weeks ago

 

[HoangDDS]

- chance that he is a carrier is .02
- chance that she is a carrier is .02
- chance of a carrier x carrier having a autosomal recessive disorder = .25
-Aa x Aa = 1 AA, 2 Aa, 1 aa => 1/4 chance of aa = .25

therefore (.02)(.02)(.25) = .0001 x 100% = .01% of affected child

 

[far123]

thanks guys