What is the probability
that when you roll two 6-
sided dice that the dice
add up to 8? I've been stuck on this problem for a while I really need help please.
how many ways can you get 8?
6-2 ,5-3 , 4-4 , 3-5 , 2-6
there are 36 possible outcomes ... 6 sides * 6 sides
there are 36 outcomes
of those, 5 add up to 8:
26 35 44 53 62
so, you have a 5/36 chance of rolling an 8
To determine the probability of rolling two dice and getting a sum of 8, we should first consider all the possible outcomes when rolling two 6-sided dice.
Each die has six sides, numbered 1 to 6. Therefore, the total number of outcomes possible when rolling two dice can be found by multiplying the number of outcomes for each die: 6 * 6 = 36.
Next, we need to consider the combinations of dice values that will result in a sum of 8. We can create a table to help us visualize this:
| Die 1 | Die 2 |
|-------|-------|
| 2 | 6 |
| 3 | 5 |
| 4 | 4 |
| 5 | 3 |
| 6 | 2 |
From the table, we can see that there are 5 possible combinations that result in a sum of 8.
Therefore, the probability of rolling two dice and getting a sum of 8 is calculated by dividing the number of favorable outcomes (combinations that result in an 8) by the total number of possible outcomes:
Probability = Number of favorable outcomes / Total number of possible outcomes
= 5 / 36
So, the probability of getting a sum of 8 when rolling two 6-sided dice is 5/36.