Question

what is the possibility of having three boys and one girl and a family with four children assuming there is an equal probability of having a boy or a girl gone to two decimal places

Answer 1

Since girls and boys have equal probability, iin a family with four children, they have probability equal to

`P(\text{girl)}=P(\text{boy)}=(1)/(4)`

so, the probability of having 3 boys and 1 girls is

`P(3\text{boys }\cap1girl)=P(3boys)\cdot P(1girl)=(3)/(4)\cdot(1)/(4)=(3)/(16)`

that is, the answer is 3/16 which is equal to 0.19.