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2003 AMC 10B Problem 21

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2003 AMC 10B Problem 21AMC 10 Step by Step

Name: Date: September 13, 2026

Conditional Probability & States · difficulty 3 of 5 · about 4 min · position P21-25

A bag contains two red beads and two green beads. You reach into the bag and pull out a bead, replacing it with a red bead regardless of the color you pulled out. What is the probability that all beads in the bag are red after three such replacements?

A)
$\frac{1}{8}$
B)
$\frac{5}{32}$
C)
$\frac{9}{32}$
D)
$\frac{3}{8}$
E)
$\frac{7}{16}$

2003 AMC 10B Problem 21

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