Answer:
S= {bbbb, bbgb, bgbb, bggb, gbbb, gbgb, ggbb, gggb,bbbg, bbgg, bgbg, bggg, gbbg, gbgg, ggbg, gggg}
P( getting four girls and no boys)=0.0625
Step-by-step explanation:
The sample space for having four children can be written as
Sample space=S= {bbbb, bbgb, bgbb, bggb, gbbb, gbgb, ggbb, gggb,bbbg, bbgg, bgbg, bggg, gbbg, gbgg, ggbg, gggg}
where b stands for boy and g stands for girl.
number of elements in sample space=n(S)=16
P( getting four girls and no boys)=?
getting four girls and no boys= {gggg}
n( getting four girls and no boys)=1
P( getting four girls and no boys)=n( getting four girls and no boys)/n(S)
P( getting four girls and no boys)=1/16
P( getting four girls and no boys)=0.0625
