From a group of 2 boys and 3 girls, two children selected at random. Describe the events:
A : Both children are girls.
B : The selected group consists of one boy and one girl.
C : The group consists of atleast one girl.
Find: (a) Events: B', C - A, A ∪ B,B ∩ C.
(b) Which pairs of events are mutually exclusive?
Let the boys be and the girls be
Two children are selected.
∴ The sample space is:
A: Both children are girls.
B: Selected group consists of one boy and one girl.
C: Selected group consists of atleast one girl.
(a)
=
(b) A and B are mutually exclusive.
Hence, only events A and B are mutually exclusive.