Hence, the probability is:
1/80
A brother and a sister are in the same math class.
There are 8 boys and 10 girls in the class.
one boy and one girl are randomly chosen.
Let A be the event of choosing a sister.
and B denote the event of choosing a brother.
We have to find:
P(A∩B)
where P is the probability off an event.
As the event of choosing a brother and a sister is independent.
Hence,
P(A∩B)=P(A)×P(B).
Also P(A)=1/10
( Since out of 10 girls one girl is to be chosen).
and P(B)=1/8.
(Since out of 8 boys one boy is to be selected)
Hence,
P(A∩B)=1/8×1/10=1/80
Hence, the probability is:
1/80
