Question

Two six-sided number cubes are rolled. Each number cube has sides numbered 1 through 6. What is the probability that the outcome of the roll is an even sum or a sum that is a multiple of 3?

Answer 1

2/3

Explanation:

There are 36 possible outcomes. How did I know? I multiplied 6 by 6 because each dice that is is rolled has 6 sides.

The probability of the outcome being even is 18/36.

The probability of the outcome being a multiple of 3 is 12/36, 6 of which have sums that are even.

You subtract 6 from 12/36 and you get 6/36.

Now you add 18/36 and 6/36.

The answer is 24/36. Simplify, and you get 2/3.

yw

Answer 2

This is the concept of probability and statistics, we are required to find the probability that when a 6-sided cube is rolled the outcome will be even sum or a sum that is multiple of 3.
The probability space is:
x=(1,2,3,4,5,6)
P(x)=1/6
P(even)=3/6=1/2
P(multiple of 3)=3/6=1/2
P(even or Multiple of 3)=1/2*1/2=1/4