Describe the following events A,B and C in the random experiment of selecting two children from a group of 2 boys and 3 girls:
A: both selected children are girls
B : at least one boy is selected
C: selected children consists of one boy and one girl.
Which pair (or, pairs ) of events is (are) mutually exclusive?

Answer

A=`{(G_(1)G_(2)),(G_(2),G_(3)),(G_(3)G_(1))}`
`B= {(B_(1)B_(2)),(B_(1)G_(1)),(B_(1)G_(3)),(B_(1)G_(3)),(B_(2)G_(1)),(B_(2)G_(2)),(B_(2)G_(3))}`
C= `{(B_(1)G_(1)),(B_(1)G_(2)),(B_(1)G_(2)),(B_(1)G_(3)),(B_(2)G_(1)),(B_(2)G_(2)),(B_(2)G_(3))}`
Two pairs A and B ; and A are mutually exclusive;