Question

A game involves rolling a fair six-sided die. If the number obtained on the die is a 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.

How will you model the simulation for the roll of a die?
A.
Use the numbers 1–20 to represent the numbers rolled when a player wins.
B.
Use the numbers 1–6 to represent the unfavorable outcomes.
C.
Use the numbers 1–3 to represent all the outcomes.
D.
Use the numbers 1–10 to represent the unfavorable outcomes.
E.
The problem cannot be solved using a simulation.

Answer 1

Thank you for asking this question:

To find the expected value, you need to find the probability of each event, and multiply that by how much you would win when that event happens.

 

Roll a 1 - (1/6)(0) = 0 (no money, so no expected value)

Roll a 2 - (1/6)(0) = 0 (same deal)

Roll a 3 - (1/6)(60) = 10 (you would expect to get 10 dollars, 1/6th of the time)

 

Keep going like this, then add up the expected values for each number to find the overall expected value.

If there is any confusion please leave a comment below.

Answer 2

Answer: C. Use the numbers 1-3 to represent all the outcomes.

Step-by-step explanation: I got this right on Edmentum