By finding the number of outcomes that meet each criteria, we will see that the probabilities are:
- A) P = 0.25
- B) P = 7/36 = 0.194
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How to find the probability?</h3>
We know that the fair die has 6 outcomes, so if we roll it twice, there are a total of:
6*6 = 36 outcomes.
To find the probability of getting a given event, we need to find the number of outcomes that make the event true.
A) The sum is greater than 8.
The outcomes that make this true are:
first roll second roll sum
4 5 9
4 6 10
5 5 10
5 6 11
6 3 9
6 4 10
6 5 11
6 6 12
3 6 9
So there are 9 outcomes whose sum is greater than 8, so the probability to getting this event is:
P = 9/36 = 0.25
B) The sum is divisible by 5.
The sum must be 5 or 10, the outcomes that give that are:
first roll second roll sum
1 4 5
2 3 5
3 2 5
1 4 5
4 6 10
5 5 10
6 4 10
There are 7 outcomes, so the probability is:
P = 7/36 = 0.194
If you want to learn more about probability, you can read:
brainly.com/question/251701
