Question

If a family has 2 children.Then check whether A and B are dependent or independent.If independent enter 1 else enter 0.

Answer 1

We have the equiprobable space $S=\{bb,bg,gb,gg\}$
Here, $A$$=\{bg,gb\}$ and so $P\left(A\right)=\frac{1}{2}$
$B=\{bg,gb,gg\}$ and so $P\left(B\right)=\frac{3}{4}$
$A\cap B=\{bg.gb\}$ and so $P(A\cap B)=\frac{1}{2}$
Since, $P\left(A\right).P\left(B\right)\ne P(A\cap B)$
$A$ and $B$ are dependent.