Question

One of the games in a fundraiser involves rolling a six-sided die. The rule is that a player has to donate six times the value shown on the die. What is the expected value of a donation?

A.
$21

B.
$27

C.
$30

D.
$36

Answer 1

The calculated expected value of a donation is $21

How to determine the expected value of a donation

From the question, we have the following parameters that can be used in our computation:

Rolling a die

The faces on a six-sided die is

Faces = {1, 2, 3, 4, 5, 6}

So, the expected outcome is

Expected outcome = Sum of faces/Number of faces

Expected outcome = (1 + 2 + 3 + 4 + 5 + 6)/6

Expected outcome = 3.5

A player has to donate six times the value shown on the die

So, the expected value of a donation is

Donation = Expected outcome * 6

This gives

Donation = 3.5 * 6

Donation = 21

Hence, the expected value of a donation is $21