NIMCET 2018 — Mathematics PYQ

Concept

$P(A\cup B)=P(A)+P(B)-P(A\cap B)$  

In equally likely events, the probabilities of each event are equal.

Calculation

$P(A\cup B)=P(A)+P(B)-P(A\cap B)$  

$\Rightarrow P(B)=\frac{5}{6}+\frac{1}{2}-\frac{2}{3}$  

$=\frac{2}{3}$  

Here, $P(A)=P(B)$  

So, A and B are equally likely events.  

Hence, option (4) is correct.