what are the odds of rolling a sum of 6 using 2 number cubes?
a. 31:5
b. 36:5
c. 5:31**
d. 5:36
looks good
so what is the answer?
To calculate the odds of rolling a sum of 6 using 2 number cubes, we need to first determine the number of favorable outcomes and the total number of possible outcomes.
In this case, the number cube has 6 sides, numbered from 1 to 6. When we roll two number cubes, the possible combinations of numbers that can be rolled are:
1-1, 1-2, 1-3, 1-4, 1-5, 1-6
2-1, 2-2, 2-3, 2-4, 2-5, 2-6
3-1, 3-2, 3-3, 3-4, 3-5, 3-6
4-1, 4-2, 4-3, 4-4, 4-5, 4-6
5-1, 5-2, 5-3, 5-4, 5-5, 5-6
6-1, 6-2, 6-3, 6-4, 6-5, 6-6
There are a total of 36 possible outcomes.
Now, let's determine the favorable outcomes, i.e. the combinations that result in a sum of 6. These are:
1-5, 2-4, 3-3, 4-2, 5-1
Hence, there are 5 favorable outcomes.
To express the odds, we need to compare the favorable outcomes to the total outcomes. The odds of rolling a sum of 6 using 2 number cubes are 5:36.
Therefore, the correct answer is option d. 5:36.