Answer:
1/16 = 0.0625 = 6.25% probability that the sum of the two rolls equals 5.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Die with 8 sides
This means that the total number of outcomes is [tex]T = 8^2 = 64[/tex]
Outcomes in which the sum of the two rolls is 5:
(1,4), (4,1), (2,3), (3,2)
4 desired outcomes, so [tex]D = 4[/tex]
What is the probability that the sum of the two rolls equals 5?
[tex]p = \frac{D}{T} = \frac{4}{64} = 0.0625[/tex]
1/16 = 0.0625 = 6.25% probability that the sum of the two rolls equals 5.
The probability that the sum of the two rolls equals 5 is 1/16
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome/Total outcome
Given a single die with 8 sides (numbered 1, 2, 3, ... , 8) is rolled twice, the total outcome will be:
Total outcome = 8^2
Total outcome = 64
For the sum of two rolls, the expected outcome will be:
E = {(1, 4), (4, 1), (3, 2), (2, 3)}
n(E) = 4
Pr(sum of the two rolls is 5) = 4/64
Pr(sum of the two rolls is 5) = 1/16
Hence the probability that the sum of the two rolls equals 5 is 1/16
Learn more on probability here; https://brainly.com/question/24756209
