Question

Answer Choices : (A) 1/6 (B)5/36 (C) 1/2 (D) 1/36

Answer 1

`Probability = (1)/(6)`

Explanation:

Given

The above table

Required

Determine the probability of a sum that is a multiple of 6

Represent the event that an outcome is a multiple of 6 with M.

List out all possible values of M

`M = \{6,6,6,6,6,12\}`

Number of M is

`n(M) = 6`

Total possible outcome is:

`n(Total) = 36`

The theoretical probability is then calculated as follows:

`Probability = (Number\ of\ desired\ outcomes)/(Number\ of\ possible\ outcomes)`

In this case, it is:

`Probability = (n(M))/(n(Total))`

`Probability = (6)/(36)`

Simplify fraction

`Probability = (1)/(6)`