Question

find sample space for the gender of children of a family has three children.use B for boy and G for girl..​

Answer 1

Answer:

BBB,BGB,GGB,ggg,bbg

Answer 2

Given,

• Three children in a family.

To find,

• We have to find the sample space for the gender of children of a family that has three children.

Solution,

The sample space for the gender of children of a family that has three children is {BBB, BBG,BGB,GBB,GGG,GGB,GBG,BGG}.

We can simply find the sample space for the gender of children of a family that has three children.

There are three children in a family out of which 3 of them can be girls or boys, only 2 of them can be girls or boys, and only 1 of them can be girl and boy.

In this way, we can easily find the sample space for the gender of children of a family that has three children.

Sample space = {BBB, BBG,BGB,GBB,GGG,GGB,GBG,BGG}

Hence, the sample  space for the gender of children of a family that has three children is {BBB, BBG,BGB,GBB,GGG,GGB,GBG,BGG}.