Probability Question 54

Question: A bag contains tickets numbered from 1 to 20. Two tickets are drawn. The probability that both the numbers are prime, is

[AISSE 1981]

Options:

A) $ \frac{14}{95} $

B) $ \frac{7}{95} $

C) $ \frac{1}{95} $

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

There are 8 prime numbers $ 2,3,5,7,11,13,17,19. $ Hence required probability $ =\frac{{}^{8}C_2}{{}^{20}C_2}=\frac{8.7}{20.19}=\frac{14}{95} $ .