John rolls a pair of six-sided number cubes.

What is the probability that the sum of the numbers on the number cubes is either a multiple of 3 or an odd number?

A. 1/2

B. 2/3

C. 1/6

D. 3/4

B. 2/3

Step-by-step explanation:

When you roll two dice, there are a total of 36 possible outcomes.

You need to find the number of outcomes whose sum is a multiple of 3. Then you need to find the number of outcomes whose sum is an odd number. Add these two numbers together and divide by 36.

Here are all the outcomes of rolling two dice. Each outcomes that has a multiple of 3 for the sum is in bold face. Each outcome that is odd is in italic. Some outcomes are both multiples of 3 and odd.

11 12 13 14 15 16

21 22 23 24 25 26

31 32 33 34 35 36

41 42 43 44 45 46

51 52 53 54 55 56

61 62 63 64 65 66

We are interested in any outcome that is a multiple of 3 or odd or both a multiple of 3 and odd.

We count the number of outcomes that are bold, italic, or both bold and italic.

The total is 24.

p (multiple of 3 or odd) = 24/26 = 2/3