from a handpicked tutor in LIVE 1-to-1 classes

# An integer is chosen between 0 and 100. What is the probability that it is 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 divisible by 7 is given by

Favourbale outcomes = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98

Number of favourable outcomes = 14

Number of possible outcomes = 99

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

Probability = 14/99

Therefore, the probability of choosing an integer that is divisible by 7 is 14/99

**✦ Try This: **An integer is chosen between 0 and 100. What is the probability that it is divisible by 9?

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

**NCERT Exemplar Class 10 Maths Exercise 13.3 Problem 31(i)**

## An integer is chosen between 0 and 100. What is the probability that it is divisible by 7

**Summary:**

An integer is chosen between 0 and 100. The probability that it is divisible by 7 is 14/99

**☛ Related Questions:**

- An integer is chosen between 0 and 100. What is the probability that it is not divisible by 7
- Cards with numbers 2 to 101 are placed in a box. A card is selected at random. Find the probability . . . .
- Cards with numbers 2 to 101 are placed in a box. A card is selected at random. Find the probability . . . .

visual curriculum