Question

A game involves rolling a fair six-sided die. If the number facing upward on the die is a whole number multiple of three, the player wins an amount equal to the number on the die times $20. If the number is not a multiple of three, the player gets nothing. What is the expected value of a player's winnings on each roll?

A. $3.33
B. $6.66
C. $8.50
D. $30.00
E. $40.00

Answer 1

the answer is D

Explanation:

Answer 2

There is only two multiples of three on a six-sided die, the 3 side, and the 6 side.

3 x 20 = 60
6 x 20 = 120
120 + 60 = 180

$180.00 is your possible winnings total, but the question asks for your expected value on EACH roll, so you divide 180 by 6(sides on a die) to get your final answer

180/6 = 30

ANSWER: D. $30.00