Question

Assume that each born child is equally likely to be a boy or a girl. If two families have two children each, then the conditional probability that all children are girls given that at least two are girls is:
(A) 1/10
(B) 1/17
(C) 1/12
(D) 1/11

Answer 1

Answer:I didn't know

Step-by-step explanation:

Answer 2

The conditional probability that all children are girls given that at least two are girls is:

(D) 1/11

To find the conditional probability that at least two are girls.

So, there can be

1) 4 girls 0 boys

2) 3 girls 1 boy

3) 2 girls 2 boys

For first case, it is 4C4 = 1

For second case it is 4C3 = 4

For third case it is 4C2 = 6

Total cases = 11

To find that all children are girls, which is the first case = 4C4 = 1

So, required probability = Reqired case/Total case = 1/11

Option (D) is correct.