5
QuizMultiple Choice

Geometric Random Variables

Question 5 • 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 expected number of draws until the first red marble?

Answer
A
Since about half of the marbles are red, 2 draws is expected until a red marble is drawn.
B
Since there are 3 colors of marbles, 3 draws is expected until a red marble is drawn.
C
Since of the marbles are red, draws are expected until a red marble is drawn.
Option C
D
Since of the marbles are red, draws are expected until a red marble is drawn.
Option D
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A jar contains 11 red marbles, 12 blue marbles…