Question

A number is selected at random from the numbers 1 to 30. The probability that it is a prime number

• A. 2/3
• B. 1/6
• C. 1/3
• D. 11/30

Answer 1

The correct option is C

1/3

Total number of possible outcomes = 30
Prime numbers between 1 to 30 are 2,3,5,7,11,13,17,19,23 and 29.
Total number of favourable outcomes = 10
$\therefore$ Probability of selecting a prime number from 1 to 30
$=\frac{Totalnumberoffavourableoutcomes}{Totalnumberofoutcomes}=\frac{10}{30}=\frac{1}{3}$
Hence, the correct option is C.