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