Question 10 • 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.” She assigns the digits to the outcomes. 0, 1 = winner2-9 = not a winner
Answer
A
Read 100 single-digit numbers. Count the number of 0s and 1s.
B
Read single-digit numbers until finding the first 0 or 1. Count the number of 0s and 1s.
C
Read single-digit numbers until finding the first 0 or 1. Count the number of digits needed to get the first 0 or 1.
D
Read 100 single-digit numbers. Count the number of digits needed to get a 0 and the number of digits needed to get a 1.
Explanation
The wheel has a 1-in-5 chance of landing on “winner.” The digits 0 and 1 make up 2 of the 10 possible digits, so they represent a winner with probability 2/10 = 1/5. Read digits until the first 0 or 1 appears, then count how many digits it took; that count represents the number of spins until the first win. This is choice C.
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