In the casino game Roulette, a bet on “red” will win if the ball lands on one of the 18 red numbers of the 38 numbers on the wheel, with each number being equally likely. You want to run a simulation that will estimate the probability of a player winning both bets when betting on red twice. Which of the following would be an appropriate setup for the simulation: I. Use a table of random digits to select one number from 01 to 38 and then a second number from 01 to 38. If the first number is between 01 and 18 and the second number is between 01 and 18, then the player has won both rounds.  II. Use a table of random digits to select two numbers 01-38, without repeats. If both numbers are between 01 and 18, then the player has won both rounds. III. Use a table of random digits to select two numbers 01-19, allowing repeats. If both numbers are between 01 and 09, then the player has won both rounds.  (A) I (B) II (C) III (D) I and II (E) I and III

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1. In the casino game Roulette, a bet on “red” will win if the ball lands on one of the 18 red numbers of the 38 numbers on the wheel, with each number being equally likely. You want to run a simulation that will estimate the probability of a player winning both bets when betting on red twice. Which of the following would be an appropriate setup for the simulation:

I. Use a table of random digits to select one number from 01 to 38 and then a second number from 01 to 38. If the first number is between 01 and 18 and the second number is between 01 and 18, then the player has won both rounds. 

II. Use a table of random digits to select two numbers 01-38, without repeats. If both numbers are between 01 and 18, then the player has won both rounds.

III. Use a table of random digits to select two numbers 01-19, allowing repeats. If both numbers are between 01 and 09, then the player has won both rounds. 

  • (A) I
  • (B) II
  • (C) III
  • (D) I and II
  • (E) I and III
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