Question

One ticket is drawn at random from a bag containing tickets numbered 1 to 40. The probability that the selected ticket has a number, which is a multiple of 7, is ______.

Options

• `1/7`

• `1/8`

• `1/5`

• `7/40`

Answer 1

One ticket is drawn at random from a bag containing tickets numbered 1 to 40. The probability that the selected ticket has a number, which is a multiple of 7, is `underlinebb(1/8)`.

Explanation:

​Total number of tickets = 40.

Out of the given numbers, multiples of 7 are 7, 14, 21, 28 and 35.

Numbers of favourable outcomes = 5.

∴ P(getting a number which is a multiple of 7) = `("Number of favourable outcomes")/"Number of all possible outcomes"`

`= 5/40 = 1/8`

Thus, the probability that the selected ticket has a number, which is a multiple of 7, is `1/8`.