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AMC10 2027 - Self-practice Set 1 Question 10

AMC10 · AMC10 2027 - Self-practice Set 1

Question 10

A radio quiz consists of three multiple-choice questions, each with three choices and exactly one correct answer. A contestant wins by answering at least two correctly. If each answer is chosen independently at random, what is the probability of winning?
  1. $\frac1{27}$
  2. $\frac19$
  3. $\frac29$
  4. $\frac7{27}$
  5. $\frac12$