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
E)$40

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
E)$40

anonymous · Answer

whole number multiple of 3 is 3 and 6 right?

anonymous · Answer

so the two possible amounts you can win are $60$ or $120$

anonymous · Answer

to find the expected value, add them up and divide by 6

anonymous · Answer

30

anonymous · Answer

Thank you