Question

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

Answer 1

The number of integers between 0 and 100 is n(S) = 99

Let E₂ = Event of choosing an integer which is not divisible by 7

∴ n(E₂) = n(S) – n(E₁)

= 99 – 14

= 85

∴ `P(E_2) = (n(E_2))/(n(S)) = 85/99`