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 pl
ayer 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
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
