Question

A bag contains 30 discs numbered from 1 to 30. One disc is drawn at random from the bag. Find the probability that it bears a number divisible by 6.

Answer 1

S = {1, 2, 3, 4, 5, ... 30}

n(S) = 30

Divisible by 6

E = {6, 12, 18, 24, 30}

n(E) = 5

Required Probability = `(n(E))/(n(S))`

= `5/30`

= `1/6`