Question

If $A$ and $B$ are independent events with $P\left(A\right)=0.3$ and $P\left(B\right)=0.4$, then find the value of $P(A\cup B)$.

Answer 1

It is given that $A$ and $B$ are independent events

Therefore, $P(A\cap B)=0$

$P(A\cup B)=P\left(A\right)+P\left(B\right)$

$P(A\cup B)=0.3+0.4=0.7$