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2003 AMC 10B Question 21

AMC10 · 2003 AMC 10B

Question 21

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?
  1. $\dfrac{1}{8}$
  2. $\dfrac{5}{32}$
  3. $\dfrac{9}{32}$
  4. $\dfrac{3}{8}$
  5. $\dfrac{7}{16}$