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2025 AMC 10B Problem 14

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2025 AMC 10B Problem 14AMC 10 Step by Step
Name:                             Date: September 13, 2026
Basic Probability · difficulty 3 of 5 · about 4 min · position P11-15

Nine athletes, no two of whom are the same height, try out for the basketball team. One at a time, they draw a wristband at random, without replacement, from a bag containing 33 blue bands, 33 red bands, and 33 green bands. They are divided into a blue group, a red group, and a green group. The tallest member of each group is named the group captain. What is the probability that the group captains are the three tallest athletes?

  1. A)

    29\frac29

  2. B)

    27\frac 27

  3. C)

    928\frac9{28}

  4. D)

    13\frac13

  5. E)

    38\frac38

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