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SMO 2008 Senior Round 1 Question 5

SMO · SMO 2008 Senior Round 1

Question 5

A bag contains 30 balls numbered 1, 2, ..., 30. Two balls are randomly chosen from the bag. Find the probability that the sum of their numbers is divisible by 3.
  1. $1/2$
  2. $1/3$
  3. $7/29$
  4. $9/29$
  5. $11/87$