Question

uppose that a single die with 8 sides (numbered 1, 2, 3, ... , 8) is rolled twice. What is the probability that the sum of the two rolls equals 5

Answer 1

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 $T = 8^2 = 64$

Outcomes in which the sum of the two rolls is 5:

(1,4), (4,1), (2,3), (3,2)

4 desired outcomes, so $D = 4$

What is the probability that the sum of the two rolls equals 5?

$p = \frac{D}{T} = \frac{4}{64} = 0.0625$

1/16 = 0.0625 = 6.25% probability that the sum of the two rolls equals 5.