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

Hey there!

Here is your answer ↓↓

To solve the following problem, we will need to use the formula :

n(C ∪ T) = n(C) + n(T) - n(C ∩ T)

n ( C ∪ T ) = Number of people who like cricket or tennis

n ( C ) = Number of people who like cricket

n ( T ) = Number of people who like tennis

n ( C ∩ T ) = Number of people who like both cricket and tennis

Now, substituting in the formula : ↓↓→←↓⇅

100 = 60 + n ( T ) - 20

100 + 20 = 60 + n ( T )

120 - 60 = n ( T )

60 = n ( T )

The number of people who like to play tennis are 60

#BeBrainly

@sid071

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

Step-by-step explanation:

hope it helps