Tough probability question. Your help needed!
- From: hoolash@xxxxxxxxx
- Date: Wed, 30 Apr 2008 00:51:29 -0700 (PDT)
The gene for haemophilia (the inability of blood to clot) produces no
symptom in females, but a female who carries the gene will pass it on
to each of her children independently with probability ½ in each case.
Assume throughout this question that males with haemophilia
(haemophiliacs) do not marry or have children.
Mrs Smith is expecting her first child (a son), and it is known that
Mrs Smith's maternal uncle (the only brother of Mrs Smith's mother) is
a haemophiliac. Explain clearly why, in the light of this information,
the probability that Mrs Smith's son will be a haemophiliac is 1/8.
What would be the probability if instead it is known that Mrs Smith's
mother has four brothers, only one of whom is a haemophiliac?
.
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