Question

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

Answer 1

Answer:

$Probability = \frac{1}{6}$

Step-by-step 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:

$Probability = \frac{Number\ of\ desired\ outcomes}{Number\ of\ possible\ outcomes}$

In this case, it is:

$Probability = \frac{n(M)}{n(Total)}$

$Probability = \frac{6}{36}$

Simplify fraction

$Probability = \frac{1}{6}$