5
QuizMultiple Choice

Simulations

Question 5 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)

At a carnival, a customer notices that a prize wheel has 5 equal parts, one of which is labeled "winner.” She would like to conduct a simulation to determine how many spins it would take for the wheel to land on "winner.” What is an appropriate assignment of digits?

Answer
A
Let 0 and 1 = winner. Let 2–5 = not a winner. Skip 6–9.
B
Let 0 = winner. Let 1-9 = not a winner.
C
Let 0 = winner. Let 1-5 = not a winner. Skip 6–9.
D
Let 0 and 1 = winner. Let 2-9 = not a winner.

Explanation

The wheel has 5 equal parts, so the chance of winning on each spin is 1 out of 5. To model that with random digits 0–9, assign 2 of the 10 digits to winner and the other 8 to not a winner, giving a 1-in-5 chance. Choice D does this by assigning 0 and 1 to winner and 2–9 to not a winner.

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