Question

If $A$ and $B$ are independent events such that $P\left(A\right)=0.3,P\left(B\right)=0.4,$ then find $P(A$ and $B)$.

Answer 1

Given that $A$ and $B$ are independent events and

$P\left(A\right)=0.3,P\left(B\right)=0.4$

We know that if $A$ and $B$ are independent events then,

$\Rightarrow P(A$ and $B)=P(A\left)P\right(B)$

$\Rightarrow P(A$ and $B)=0.3\times 0.4$

$\Rightarrow P(A$ and $B)=0.12$