Select the correct answer. 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?

The expected value of a player's winnings on each roll is equal to: D. $30.00 How to determine expected value of a player's winnings on each roll?In order to determine the expected value of a player's winnings on each roll, we would list all of the outcomes that are associated with rolling a fair six-sided die.By rolling a fair six-sided die, we would obtain the following outcomes:Outcomes = 1, 2, 3, 4, 5, and 6.Generally speaking, there are only two (2) numbers that are multiples of three (3) in a fair six-sided die and these include the following:Multiples of three (3) = 3 and 6When a player rolls a three (3), the player's possible winning is giving by:Player's winning = 3 × 20 = $60When a player rolls a three (3), the player's possible winning is giving by:Player's winning = 6 × 20 = $120Total winnings = $60 + $120Total winnings = $180Now, we can determine the expected value of a player's winnings on each roll:Expected value = 1/6 × 180Expected value = $30.Read more on expected value here: https://brainly.com/question/10675141#SPJ1Complete 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. $3.33B. $6.66C. $8.50D. $30.00E. $40.00