An integer is chosen between 0 and 100. What is the probability that it is not divisible by 7

Solution:

Given, an integer is chosen between 0 and 100.

We have to find the probability that an integer chosen is divisible by 7.

Integers between 0 and 100 = 1, 2, 3, 4,........and 99

Total number of integers between 0 and 100 = 99.

The probability that an integer chosen is not divisible by 7 is given by

Integers divisible by 7 between 0 and 100 = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98

Number of integers divisible by 7 = 14

Favourable outcomes = Integers not divisible by 7

Integers not divisible by 7 = total number of integers between 0 and 100 - number of integers divisible divisible by 7 between 0 and 100.

= 99 - 14

= 85

Number of favourable outcomes = 85

Number of possible outcomes = 99

Probability = number of favourable outcomes / number of possible outcomes.

Probability = 85/99

Therefore, the probability of choosing an integer that is not divisible by 7 is 85/99.

✦ Try This: An integer is chosen between 0 and 100. What is the probability that it is not divisible by 6?

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 14

NCERT Exemplar Class 10 Maths Exercise 13.3 Problem 31(ii)

An integer is chosen between 0 and 100. What is the probability that it is not divisible by 7

Summary:

An integer is chosen between 0 and 100. The probability that it is not divisible by 7 is 85/99

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