Question

.In a group of 70 persons, 42 like tea.Out of this group, if one person is chosen at random, what is the probability that he or she doesn't like tea?​

Answer 1

Answer:

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Step-by-step explanation:

Let C denote the set of people who like coffee, and T denote the set of people who like tea

n(C∪T)=70,n(C)=37,n(T)=52

We know that:

n(C∪T)=n(C)+n(T)−n(C∩T)

∴70=37+52−n(C∩T)

⇒70=89−n(C∩T)

⇒n(C∩T)=89−70=19

Answer 2

Answer:

$\frac{14}{35}$

Step-by-step explanation:

Total no of people= 70

No of people like tea= 42

No of people dislike tea = 70-42 = 28

Therefore, the probability that he or she doesn't like tea is

$\frac{28}{70} = \frac{14}{35}$

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