Haylee rolls two number cubes. What is the probability she rolls two numbers whose sum is greater than 9?
6 numbers on each cube ... 36 possible outcomes
>9 ... 6-4, 5-5, 4-6, 6-5, 5-6, 6-6 ... 6 possible outcomes
p(>9) = 6 / 36
To find the probability of rolling two numbers whose sum is greater than 9, we first need to determine all the possible outcomes when rolling two number cubes.
Each number cube has six sides, numbered from 1 to 6. When rolling two number cubes, there are a total of 6 * 6 = 36 possible outcomes.
Next, we need to find the favorable outcomes, i.e., the outcomes where the sum of the two numbers is greater than 9. We can create a chart to make this process easier:
| 1 | 2 | 3 | 4 | 5 | 6 |
1 | | | | | | |
2 | | | | | | |
3 | | | | | | |
4 | | | | | | |
5 | | | | | | |
6 | | | | | | |
We can fill in the chart by adding the numbers from the rows and columns. For example, in the cell with row 1 and column 2, we add 1 + 2 = 3. By doing this for all the cells, we get the following chart:
| 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|
Now, we can count the favorable outcomes, which are the cells where the sum is greater than 9. In this case, there are 6 favorable outcomes: (4,6), (5,5), (5,6), (6,4), (6,5), and (6,6).
Therefore, the probability of rolling two numbers whose sum is greater than 9 is 6 favorable outcomes out of 36 total possible outcomes.
Probability = favorable outcomes / total possible outcomes
Probability = 6 / 36
Probability = 1/6
So, the probability that Haylee rolls two numbers whose sum is greater than 9 is 1/6.
To find the probability that Haylee rolls two numbers whose sum is greater than 9, we first need to determine the total number of possible outcomes when rolling two number cubes.
Each number cube has 6 faces, numbered from 1 to 6. So, the total number of outcomes for rolling two number cubes is:
Total number of outcomes = 6 (number of outcomes for the first cube) * 6 (number of outcomes for the second cube) = 36
Next, we need to calculate the number of favorable outcomes, which are the outcomes in which the sum of the two numbers is greater than 9.
To determine the favorable outcomes, let's first list all the possible pairs of numbers whose sum is greater than 9:
(4,6), (5,5), (5,6), (6,4), (6,5), (6,6)
There are 6 favorable outcomes.
Therefore, the probability that Haylee rolls two numbers whose sum is greater than 9 is:
Probability = Number of favorable outcomes / Total number of outcomes = 6 / 36 = 1/6 or approximately 0.1667