How many ways are there to roll a sum of 7 or 11 on two dice?
To find the number of ways to roll a sum of 7 or 11 on two dice, we can list out all the possible outcomes.
Sum of 7:
- (1, 6)
- (2, 5)
- (3, 4)
- (4, 3)
- (5, 2)
- (6, 1)
Sum of 11:
- (5, 6)
- (6, 5)
Therefore, there are a total of 8 possible ways to roll a sum of 7 or 11 on two dice.
To find the number of ways to roll a sum of 7 or 11 on two dice, we can list all the possible outcomes:
Sum of 7:
1 + 6
2 + 5
3 + 4
4 + 3
5 + 2
6 + 1
Sum of 11:
5 + 6
6 + 5
So, there are 6 ways to roll a sum of 7 and 2 ways to roll a sum of 11 on two dice.
To find the number of ways to roll a sum of 7 or 11 on two dice, we can first determine the possible outcomes for each roll and then count the occurrences of the desired sums.
For a pair of dice, there are 6 possible outcomes for each die (since each die has 6 sides numbered from 1 to 6). Therefore, the total number of outcomes for two dice is 6 * 6 = 36.
Now, let's count the number of ways to roll a sum of 7. We can do this by listing all the possible combinations that add up to 7:
1 + 6 = 7
2 + 5 = 7
3 + 4 = 7
4 + 3 = 7
5 + 2 = 7
6 + 1 = 7
So, there are 6 ways to roll a sum of 7.
Next, let's find the number of ways to roll a sum of 11. The combinations that add up to 11 are:
5 + 6 = 11
6 + 5 = 11
Therefore, there are 2 ways to roll a sum of 11.
Now, if we add up the total number of ways to roll a sum of 7 or 11, we get 6 (for 7) + 2 (for 11) = 8.
Hence, there are 8 ways to roll a sum of 7 or 11 on two dice.