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Simulations

Question 10 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)

The manufacturer of your favorite breakfast cereal is including free movie tickets in approximately 20% of its boxes of cereal. How would you conduct a simulation to determine approximately how many boxes of cereal you would have to buy to find a free movie ticket?

Answer
A
0s and 1s
B
movie tickets
C
digits

Explanation

Use random digits from 0 to 9, assigning two digits (such as 0 and 1) to mean a box contains a ticket and the other eight to mean it does not. This represents the 20% chance of a ticket in each box. In each trial, generate digits until a ticket digit appears; repeat many trials and average the number of boxes needed. The correct choice is “digits.”

AI-written and checked against the verified answer.

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