# Three events A, B and C are defined in the sample space S. The events A and B are mutually exclusive and A and C are independent. What is P(AuuB)?

## $P \left(A\right) = 0.2 , P \left(B\right) = 0.4$ and $P \left(A \cup C\right) = 0.7$

Mar 10, 2017

$P \left(A \cup B\right) = 0.6$

#### Explanation:

If $A$ and $B$ are mutually exclusive;

$P \left(A \cap B\right) = 0$

And , We know that:

$P \left(A \cup B\right) = P \left(A\right) + P \left(B\right) - P \left(A \cap B\right)$
$\text{ } = 0.2 + 0.4 - 0$
$\text{ } = 0.6$