Question

A survey of 200 persons of a locality shows the like and dislike for tea.

No. of persons who like tea	148
No. of persons who dislike tea	52

Out of these persons one was chosen at random. What is the probability that the chosen person likes tea?
(a) $\frac{13}{37}$

(b) $\frac{37}{13}$

(c) $\frac{13}{50}$

(d) $\frac{37}{50}$

Answer 1

(d) $\frac{37}{50}$

Explanation:
Total number of persons = 200
Number of persons who like tea = 148

Let E be the event that the selected person likes tea. Then,

P(E) = $\frac{\mathrm{Number}\mathrm{of}\mathrm{persons}\mathrm{who}\mathrm{like}\mathrm{tea}}{\mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{persons}}=\frac{148}{200}=\frac{37}{50}$Number of ladies who like coffeeTotal number of ladies = 142200 = 0.71