Question

In a class of 50 students 35 drink coffee as well tea. All students drink one of the two drink. find number of students drinking only coffee ?​

Answer 1

Answer:

Let T and C be the number of students who drink tea and coffee respectively.

Then,

P(T)=

100

60

=0.6

P(C)=

100

50

=0.5

P(T∩C)=

100

30

=0.3

Therefore,

P(T∪C)=P(T)+P(C)−P(T∩C)

P(T∪C)=0.6+0.5−0.3=0.8

Answer 2

Step-by-step explanation:

Let’s solve this using a venn diagram.

T = Tea

C = Coffee

n means number

n(T) = 30

n(C) = 20

Universal = 50

n(T U C)' = 6 , T union C complement (people who like to drink neither)

Let n(T Π C) i.e. T intersection C (People who like to drink both) = x

n(T) + n(C) - n(T Π C) + n(T U C)' = 50

30 + 20 - x + 6 = 50

56 - x = 50

- x = 50 - 56

-x = -6

x = 6

Therefore people who like to drink BOTH Tea and Coffee are 6.

People who drink coffee = 20

Thus, People who ONLY drink coffee = 20 - 6 = 14 people

I hope it's helpful for you ✨ thank you