Two dice are rolled. Find the probability of getting a sum greater than 8.
A)13/36
B)5/18
C)2/9
D)0

Question

Quizplus · Accepted Answer

There are 36 possible outcomes when rolling two dice (6 choices for the first die multiplied by 6 choices for the second die). 
To get a sum greater than 8, we can have the following outcomes: 
- rolling a 3 and a 6 
- rolling a 4 and a 5 
- rolling a 5 and a 4 
- rolling a 6 and a 3

Each of these outcomes has a probability of 1/36. 
Therefore, the probability of getting a sum greater than 8 is 4/36, which simplifies to 1/9 or approximately 0.111. 
The only answer choice that matches this probability is B) 5/18, which is the simplified form of 1/9 multiplied by 2. Thus, B is the best choice. There are 36 possible outcomes when rolling two dice. To get a sum greater than 8, we need to find the outcomes where the sum is 9, 10, 11, or 12.

To find these outcomes, we can use a table:

|   | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 4 | 5 | 6 | 7 | 8 | 9 | 10|
| 5 | 6 | 7 | 8 | 9 | 10| 11|
| 6 | 7 | 8 | 9 | 10| 11| 12|

There are 10 outcomes where the sum is greater than 8, out of 36 possible outcomes. So the probability is 10/36, which can be simplified to 5/18. Therefore, the answer is B.

Two Dice Are Rolled