Question

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

Options

• \[\frac{2}{3}\]

• \[\frac{1}{6}\]

• \[\frac{1}{3}\]

• \[\frac{11}{30}\]

Answer 1

Total number of outcomes = 30
The prime numbers from 1 to 30 are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29.
So, the favourable number of outcomes are 10.
∴ P(selected number is a prime number) =\[\frac{\text{ Favourable number of outcomes }}{\text{ Total number of outcomes }} = \frac{10}{30} = \frac{1}{3}\]