Question

In the following Venn diagram circles $A$ and $B$ represent two events:

The probability of the union of shaded region will be

• A. $P(A)+P(B)-2P(A\cap B)$
• B. $P(A)+P(B)-P(A\cap B)$
• C. $P(A)+P(B)$
• D. $2P(A)+2P(B)-P(A\cap B)$

Answer 1

Answer: (B)

From the given Venn diagram the shadow region is
$n(A)+n(B)-n(A\cap B)$
Probability of the union of the shaded region is
$P(A)+P(B)-P(A\cap B)$