Question

Question 31(i)
An integer is chosen between 0 and 100. What is the probability that it is divisible by 7?

Answer 1

The number of integers between 0 and 100 is
n(S) = 99
Let $E_1$ = Event of choosing an integer which is divisible by 7
= Event of choosing an integer which is multiple of 7
= {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98}
$\therefore n\left(E_1\right)=14$
$\therefore P\left(E_1\right)=\frac{n\left(E_1\right)}{n\left(S\right)}=\frac{14}{99}$