Question

If $A$ denotes that a student reads in a school and $B$ denotes that he plays cricket, then

• A. $P(A\cap B)=1$
• B. $P(A\cup B)=1$
• C. $P(A\cap B)=0$
• D. $P\left(A\right)=P\left(B\right)$

Answer 1

The correct option is C $P(A\cap B)=0$

Given: two events $A:$ student reads in a school and $B:$ student plays cricket.

As the two events are mutually exclusive, i.e., a student can't read in school as well as play cricket.

Hence $P(A\cap B)=0$