select the correct answer.\na game involves rolling a fair six - sided die. if the number obtained on the…

select the correct answer.\na 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.\nhow will you model the simulation for the roll of a die?\na. use the numbers 1 - 20 to represent the numbers rolled when a player wins.\nb. use the numbers 1 - 6 to represent the unfavorable outcomes.\nc. use the numbers 1 - 3 to represent all the outcomes.\nd. use the numbers 1 - 10 to represent the unfavorable outcomes.\ne. the problem cannot be solved using a simulation.

select the correct answer.\na 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.\nhow will you model the simulation for the roll of a die?\na. use the numbers 1 - 20 to represent the numbers rolled when a player wins.\nb. use the numbers 1 - 6 to represent the unfavorable outcomes.\nc. use the numbers 1 - 3 to represent all the outcomes.\nd. use the numbers 1 - 10 to represent the unfavorable outcomes.\ne. the problem cannot be solved using a simulation.

Answer

Explanation:

Step1: Identify favorable and unfavorable outcomes

A fair six - sided die has numbers 1, 2, 3, 4, 5, 6. The favorable outcomes (multiples of 3) are 3 and 6. The unfavorable outcomes are 1, 2, 4, 5.

Step2: Analyze each option

  • Option A: Using 1 - 20 to represent winning numbers is incorrect as it doesn't match the nature of a six - sided die roll.
  • Option B: 1 - 6 cannot all be unfavorable outcomes since 3 and 6 are favorable.
  • Option C: 1 - 3 doesn't represent all outcomes correctly as it misses 4, 5, 6.
  • Option D: There are 4 unfavorable outcomes out of 6 total outcomes. If we use 1 - 10 to represent outcomes, we can assign 1 - 4 to unfavorable outcomes (4 out of 10) which is a valid way to model the simulation proportionally.
  • Option E: The problem can be solved using simulation.

Answer:

D. Use the numbers 1 - 10 to represent the unfavorable outcomes.