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2025 AMC 10A Question 16

AMC10 · 2025 AMC 10A

Question 16

There are three jars. Each of three coins is placed in one of the three jars, chosen at random and independently of the placements of the other coins. What is the expected number of coins in a jar with the most coins?
  1. $\dfrac{4}{3}$
  2. $\dfrac{39}{27}$
  3. $\dfrac{5}{3}$
  4. $\dfrac{17}{9}$
  5. $2$