GATE Overflow | Mathematics | Test 1 | Question: 6

Question

The probability of occurrence of an event $B$ is $P$, The probability that events $A$ and $B$ occur together is $Q$. The probability that $A$ occurs without $B$ occuring is $R$. Then the probability of $A$ occuring is

• A. $P +Q + R$   
• B. $P+Q-R$     
• C. $Q +R$   
• D. $P -Q -R$

Comments

Didnt know how to solve .. Sir,Could you please explain

Answer 1

Just Draw Venn Diagram and see what is A.
it is Q+R

Answer 2

$R+Q$, as evident by the Venn diagram.

Option C