1
QuizMultiple Choice

Introduction to Probability

Question 1 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)

Dropping a piece of buttered toast will theoretically land butter-side down with a probability of 0.65. Some students decided to test this theory and dropped five pieces of buttered toast. All five landed butter-side down. One of the students claims that the next piece of buttered toast dropped will land butter-side up because it is due to happen.

Answer
A
Yes, the students need to start dropping buttered toast to land butter up to get back to 0.65.
B
No, the probability of buttered toast landing butter-side down is 0.65 over a large number of trials.
C
No, if buttered toast lands butter-side down five times in a row, the probability must be higher than 0.65.
D
Yes, it is unlikely that five pieces of dropped buttered toast will land butter-side down, so butter up must be due.

Explanation

Each drop is a separate trial, so five butter-side-down results do not make butter-side up “due” on the next drop. If the theory is correct, the probability of landing butter-side down remains 0.65 for each drop; over many trials, the proportion landing down is expected to approach 0.65. Therefore, the correct choice is “No, the probability ... is 0.65 over a large number of trials.”

AI-written and checked against the verified answer.

Next