A couple has two children, (i) Find the probability that both children are males, if it is known that at least one of the children is male.

0 votes
29 views
asked Jan 27, 2018 in Mathematics by sforrest072 (157,439 points) 60 409 933
edited Mar 7, 2018 by faiz

A couple has two children, 

(i) Find the probability that both children are males, if it is known that at least one of the children is male. 

(ii) Find the probability that both children are females, if it is known that the elder child is a female.

1 Answer

0 votes
answered Jan 27, 2018 by mdsamim (213,225 points) 5 10 15
edited Mar 7, 2018 by faiz
 
Best answer

If a couple has two children, then the sample space is 

S = {(b, b), (b, g), (g, b), (g, g)} 

(i) Let E and F respectively denote the events that both children are males and at least one of the children is a male.

(ii) Let A and B respectively denote the events that both children are females and the elder child is a female.

...