Question

A fair dice is rolled . work out the probability of getting a factor of 8 Give your answer in it's simplest form

Answer 1

`Pr = (1)/(2)`

Explanation:

Given

`S = \{1,2,3,4,5,6\}` --- the faces of the dice

`n(S) = 6`

Required

Pr(Multiple of 8)

The multiples of 8 in the given dataset are:

`Multiples = \{1.,2,4\}`

`n(Multiples) = 3`

So, we have:

`Pr = (n(Multiples))/(n(S))`

`Pr = (3)/(6)`

Simplify

`Pr = (1)/(2)`