Probability Ques 6

Question-

What is the probability that a number selected from numbers $1,2,3, \ldots . .30$, is prime number, when each of the given numbers is equally likely to be selected?

(1) $\frac{9}{30}$

(2) $\frac{8}{30}$

(3) $\frac{10}{30}$

(4) $\frac{11}{30}$

(5) $\frac{21}{30}$

(IBPS Bank PO/MT CWE-V Main Exam. 31.10.2015)

Show Answer

Correct Answer: (3)

Solution: (3)

Prime numbers in $1,2,3 \ldots 30$ $=2,3,5,7,11,13,17,19,23$,$29=10$

Required probability $=\frac{10}{30}=\frac{1}{3}$