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2026 AMC 10A Problem 12

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2026 AMC 10A Problem 12AMC 10 Step by Step

Name: Date: November 10, 2026

Basic Probability · difficulty 3 of 5 · about 5 min · position P11-15

A drawer has $100$ red socks and $100$ blue socks. Pippi randomly removes one sock at a time, without replacement, until all the socks of one color have been removed. What is the probability that there are exactly $2$ socks left in the drawer once that happens?

A) $\frac{27}{196}$
B) $\frac{49}{198}$
C) $\frac{247}{990}$
D) $\frac{50}{199}$
E) $\frac{25}{99}$

2026 AMC 10A Problem 12

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