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

Answer: 20

Step-by-step explanation:

Total people = 100

People who like to play cricket=60

People who like to play both= 20

People who like to play tennis=x

Out of 100 people, sone like to play cricket, some like to play tennis and some will like to play both cricket and tennis.

So,

People who like to play cricket + People who like to play tennis + People who like to play both = Total people

60+x+20=100

80+x=100

x=20

Answer 2

Answer:

ANSWER

P(cricket)=P(A)=60

P(cricket & tennis)=P(A∩B)=20

P(total)=P(A∪B)=100

P(A∪B)=P(A)+P(B)−P(A∩B)

100=60+P(B)−20

P(B)=60

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

=60−20=40