Question

An integer is chosen from integers between 0 and 51, the probability of it to be divisible by 6 is ______.

Options

• \[\frac{3}{25}\]

• \[\frac{4}{25}\]

• \[\frac{1}{50}\]

• \[\frac{1}{25}\]

Answer 1

An integer is chosen from integers between 0 and 51, the probability of it to be divisible by 6 is \[\underline{\boldsymbol{\frac{4}{25}}}\].

Explanation:

Integers between 0 and 51 are:

1, 2, 3, ......., 50.

No. of possible outcomes: 50

Integers divisible by 6 between 0 and 51:

6, 12, 18, 24, 30, 36, 42, 48.

No. of favourable outcomes: 8

P(that a number is divisible by 6) = \[\frac{\text{No. of favourable outcomes}}{\text{Total no. of possible outcomes}} = \frac{8}{50} = \frac{4}{25}\]