Question

If $A$ and $B$ are independent events such that $P\left(A\right)=0.3,P\left(B\right)=0.4$, then the value of $P\left(A\text{and}B\right)$ is:

• A. $0.06$
• B. $0.07$
• C. $0.12$
• D. $0.09$

Answer 1

The correct option is C $0.12$

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,
$P\left(A\text{and}B\right)=P\left(A\right)P\left(B\right)$
$\Rightarrow P\left(A\text{and}B\right)=0.3\times 0.4$
$\Rightarrow P\left(A\text{and}B\right)=0.12$