Question

In a group of $100$ people, $60$ people like to play cricket, $20$ people like to play both cricket and Tennis. How many people like to play Tennis but not cricket?

Answer 1

P(cricket)$=P\left(A\right)=60$

P(cricket & tennis)$=P(A\cap B)=20$

P(total)$=P(A\cup B)=100$

$P(A\cup B)=P\left(A\right)+P\left(B\right)-P(A\cap B)100=60+P\left(B\right)-20P\left(B\right)=60$

P(tennis but not cricket)=P(tennis)-P(both tennis and cricket)

$=60-20=40$