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SEAMO 2027 - Paper C - SET 05 - Self-study Question 3

SEAMO · SEAMO 2027 - Paper C - SET 05 - Self-study

Question 3

Two different numbers are chosen from $\{1,2,3,4,\ldots,13,14,15\}$. The probability that their sum is odd is written as $m/n$. Find $m+n$.

Use equally likely pairs, and write m/n in lowest terms with positive integers m and n. These standard probability conventions are made explicit here.
  1. 22
  2. 23
  3. 37
  4. 38
  5. 40