When calculating probability, we are comparing the number of favorable outcomes to the number of possible outcomes. To calculate the probability of rolling two numbers which sum is 10 we will use the Probability Formula.
P=Favorable Outcomes/Possible Outcomes
First, let's calculate the number of possible outcomes. We will do this by using Fundamental Counting Principle. When tossing a number cube there are 6 possible outcomes. When throwing two cubes we multiply numbers of possible outcomes.
6 * 6 = 36
To find the number of favorable outcomes we will begin by making a table of possible outcomes. In the columns and rows we have possible outcomes of each cube roll.
1
2
3
4
5
6
1
1, 1
2, 1
3, 1
4, 1
5, 1
6, 1
2
1, 2
2, 2
3, 2
4, 2
5, 2
6, 2
3
1, 3
2, 3
3, 3
4, 3
5, 3
6, 3
4
1, 4
2, 4
3, 4
4, 4
5, 4
6, 4
5
1, 5
2, 5
3, 5
4, 5
5, 5
6, 5
6
1, 6
2, 6
3, 6
4, 6
5, 6
6, 6
Notice that there are three favorable outcomes. Therefore, the probability of rolling two numbers which sum is 10 is 336.
