Find the probability that a number selected at random from the numbers $ 1,2,3, \ldots, 35 $ is a multiple of 7.

Given:

Numbers \( 1,2,3, \ldots, 35 \) are given.

To do:

We have to find the probability that a number selected at random from the numbers \( 1,2,3, \ldots, 35 \) is a multiple of 7.

Solution:

Numbers \( 1,2,3, \ldots, 35 \) are given.

This implies,

The total number of possible outcomes $n=35$.

Multiples of 7 from 1 to 35 are 7, 14, 21, 28 and 35.

Total number of favourable outcomes $=5$.

We know that,

Probability of an event $=\frac{Number\ of\ favourable\ outcomes}{Total\ number\ of\ possible\ outcomes}$

Therefore,

Probability that a number selected from the numbers \( 1,2,3, \ldots, 35 \) is a multiple of 7 $=\frac{5}{35}$

$=\frac{1}{7}$

The probability that a number selected from the numbers $1, 2, 3, ........, 35$ is a multiple of 7 is $\frac{1}{7}$.    

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Updated on: 10-Oct-2022

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