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SEAMO 2027 - Paper D - SET 04 - Self-study Question 9

SEAMO · SEAMO 2027 - Paper D - SET 04 - Self-study

Question 9

A football match can be won, drawn or lost with equal probability. A school plays 2 matches each week. The probability that at least one match is drawn that week is $m/n$. Find $m+n$.

Practice assumptions: the results of the two matches are independent, and m/n is written in lowest terms with positive integers m and n. These conditions are implicit, not expressly stated in the source.
  1. 13
  2. 14
  3. 15
  4. 16
  5. 17