An ordinary (falr) dle is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a d

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2 years ago

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An ordinary (falr) dle is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a d

le is rolled twice in succession
and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events.
Event A: The sum is greater than 8.
Event B: The sum is divisible by 5.
Write your answers as fractions.
(a) P(X) =

(b) P(B) =

Mathematics

1 answer:

ddd [48] · Answer 1 · 2022-12-16T09:16:08+03:00

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

<h3>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