Question

The probability that a number selected at random from the numbers 1, 2, 3, ..., 15 is a multiple of 4, is ______.

Options

• `4/15`

• `2/15`

• `1/5`

• `1/3`

Answer 1

The probability that a number selected at random from the numbers 1, 2, 3, ..., 15 is a multiple of 4, is `underlinebb(1/5)`.

Explanation:

Total number of outcomes = 15.

Out of the given numbers, multiples of 4 are 4, 8 and 12.

Numbers of favourable outcomes = 3.

∴ P(getting a multiple of 4) = `("Number of favourable outcomes")/"Number of all possible outcomes"`

`= 3/15 = 1/5`

Thus, the probability that a number selected is a multiple of 4 is `1/5`.