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) 1/6

Answer 1

To find the probability of rolling a sum of 10 with two dice, we need to determine the number of ways we can get a sum of 10. The probability is 1/12.

Step-by-step explanation:

To find the probability of rolling a sum of 10 with two dice, we need to determine the number of ways we can get a sum of 10. Let's break it down:

1. The possibilities for the first die are 4, 5, or 6 (since we need at least 4 to get a sum of 10).
2. For each possibility of the first die, we need the second die to be the remaining number needed to get a sum of 10. For example, if the first die is 4, then the second die must be 6.
3. Therefore, there are 3 possibilities for the first die and 1 possibility for the second die, giving us a total of 3 * 1 = 3 possibilities.
4. Since each die has 6 sides, the total number of possible outcomes is 6 * 6 = 36.

Thus, the probability of getting a sum of 10 is 3/36, which simplifies to 1/12. Therefore, the answer is c) 1/12.