give an example of a situation that has 8 different outcomes
Sure! One example of a situation with 8 different outcomes could be rolling a fair, standard six-sided die twice. Each roll of the die has 6 possible outcomes (numbers 1 through 6), so when you roll it twice, you can multiply the number of outcomes for each roll to get the total number of outcomes for both rolls.
Since there are 6 possible outcomes for the first roll and 6 possible outcomes for the second roll, you would multiply 6 by 6 to get 36 possible outcomes. However, since we want to consider situations with 8 different outcomes, we need to look for a subset of results totaling 8.
Let's see which combinations result in a sum of 8:
1 + 7 = 8
2 + 6 = 8
3 + 5 = 8
4 + 4 = 8
5 + 3 = 8
6 + 2 = 8
7 + 1 = 8
As we can see, there are 7 different combinations of rolls resulting in a sum of 8. Therefore, this situation has 8 different outcomes.