11
QuizMultiple Choice

Unit Test — Unit test

Question 11 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)

A jar contains 11 red marbles, 12 blue marbles, and 6 white marbles. Four marbles from this jar are selected, with each marble being replaced after each selection. What is the probability that the first red marble chosen is on the 5th selection?

Answer
A
0.0128
B
0.0563
C
0.1484
D
0.2815

Explanation

To have the first red marble on the fifth selection, the first four selections must all be non-red, and the fifth must be red. There are 18 non-red marbles and 11 red marbles out of 29, so the probability is (18/29)^4 × (11/29) ≈ 0.0563. This matches choice B, 0.0563. The question’s reference to selecting four marbles conflicts with asking about a fifth selection; this calculation assumes the fifth selection is intended.

AI-written and checked against the verified answer.

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