Question

A and B are two events on a sample space S such that $P\left(A\right)=0.8,P\left(B\right)=0.6$ and $P(A\cup B)=0.9$ find $(A\cap B)$.

• A. 0.3
• B. 0.4
• C. 0.5
• D. 0.6

Answer 1

The correct option is C 0.5

Given that:

$P\left(A\right)=0.8,P\left(B\right)=0.6$ and $P(A\cup B)=0.9$

To find: $P(A\cap B)=?$

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

$=0.8+0.6-0.9$

$=1.4-0.9$

$=0.5$

Hence, C is the correct option.