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} $ .