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AMO 2022 – Junior College (Grade 11–12) Question 4

AMO · AMO 2022 – Junior College (Grade 11–12)

Question 4

A large bag contains pennies (1 cent), nickels (5 cents), and dimes (10 cents), with each type equally likely to be selected. If you draw three coins, what is the probability of obtaining 25 cents? Clarification: use independent draws, each with probability $1/3$ for each type, as intended by the source.

Question illustration
  1. $\frac13$
  2. $\frac25$
  3. $\frac16$
  4. $\frac19$
  5. $\frac29$