Probability Ques 44

Question-

What is the probability that a number selected from the numbers 1 to 30 is a prime number, when each of the number is equally likely to be selected?

(1) $\frac{3}{5}$

(2) $\frac{1}{3}$

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

(4) $\frac{14}{33}$

(5) None of these

(IBPS RRBs Officer CWE Prelim Exam, 13.09.2020)

Show Answer

Correct Answer: (2)

Solution: (2)

Total possible outcomes $=$

Selection of one number out of 30 numbers $=30$

Prime numbers from 1 to 30 $=2,3,5,7,11,13,17,19,23$, $29=10$

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