How many ways can you roll two standard number cubes and get a sum of 9?
3,6
4,5
if the dice are indistinguishable then there are two ways
To find out the number of ways to roll two standard number cubes (also known as dice) and get a sum of 9, we will go through a step-by-step process.
Step 1: Determine the possible combinations of numbers that can be rolled on each die. Since a standard number cube has six faces numbered from 1 to 6, the possible outcomes for each die are 1, 2, 3, 4, 5, and 6.
Step 2: Make a list of all possible outcomes for the first die. Since there are six possible outcomes, the list would be [1, 2, 3, 4, 5, 6].
Step 3: Make a similar list for the second die, i.e., [1, 2, 3, 4, 5, 6].
Step 4: Find all the combinations where the sum of the numbers from the two lists is equal to 9. Here are the possible outcomes:
(3, 6)
(4, 5)
(5, 4)
(6, 3)
Step 5: Count the number of outcomes. In this case, there are 4 possible combinations.
Hence, there are four different ways you can roll two standard number cubes and get a sum of 9.