Question

Rolling the Dice Taylor tossed one green number cube and one red number cube. Each cube is numbered from 1 to 6. What is the probability that the sum of the numbers on the cubes is 10? Write the answer as a tion in simplest form. Show All Work.

A. 1/36
B. 1/18
C. 1/12
D. 1/9

Answer 1

To find the probability of rolling a sum of 10 on two six-sided dice, count all the combinations that produce that sum, which is 3, and divide by the total number of combinations possible, which is 36, giving a probability of 1/12.

Step-by-step explanation:

The question asks to calculate the probability that the sum of the numbers on two rolled dice is 10. To solve this, we consider all the possible combinations of numbers on each die that sum up to 10:

• 4 (green) and 6 (red)
• 5 (green) and 5 (red)
• 6 (green) and 4 (red)

There are three combinations that result in a sum of 10. Since each die has 6 faces, there are a total of 6 * 6 = 36 possible combinations when two dice are rolled. Therefore, the probability is the number of successful outcomes divided by the total number of possible outcomes:

P(sum of 10) = 3 / 36 = 1 / 12

The simplest form of the probability of rolling a sum of 10 with two dice is 1/12, which corresponds to option C.