Two dice are rolled. What is the probability of rolling a total of five on the two dice?
Using "drawing" as a school subject indicates that this is an art question.
There are 36 possible combinations for two dice. These are the combinations that total 5:
1,4
4,1
2,3
3,2
Take if from here.
To calculate the probability of rolling a total of five on two dice, we need to first determine the number of ways we can achieve a sum of five and then divide it by the total number of possible outcomes.
To find the number of ways to get a sum of five, we can create a table of all possible outcomes when rolling two dice:
+---+---+---+---+---+---+
| | 1 | 2 | 3 | 4 | 5 |
+---+---+---+---+---+---+
| 1 | 2 | 3 | 4 | 5 | 6 |
+---+---+---+---+---+---+
| 2 | 3 | 4 | 5 | 6 | 7 |
+---+---+---+---+---+---+
| 3 | 4 | 5 | 6 | 7 | 8 |
+---+---+---+---+---+---+
| 4 | 5 | 6 | 7 | 8 | 9 |
+---+---+---+---+---+---+
| 5 | 6 | 7 | 8 | 9 | 10|
+---+---+---+---+---+---+
By examining the table, we can see there are four possible combinations that add up to five: (1,4), (2,3), (3,2), and (4,1).
The total number of outcomes when rolling two dice is 36 (since each die has 6 possible outcomes, and there are 6 * 6 = 36 possible combinations).
Now, we can calculate the probability by dividing the number of favorable outcomes (4) by the total number of possible outcomes (36):
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 4/36
Probability = 1/9
Therefore, the probability of rolling a total of five on two dice is 1/9.