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AMO 2021 - Secondary 3 (Grade 9) Question 14

AMO · AMO 2021 - Secondary 3 (Grade 9)

Question 14

Let $S=A+B+C$, where each of $A,B,C$ is randomly chosen from $\{1,3,5,7\}$. Find the probability that $S=11$. Clarification: the choices are independent and uniform, with repetition allowed.

Question illustration
  1. $5/32$
  2. $27/64$
  3. $5/128$
  4. $1/8$
  5. $3/16$