Relative chances in a three-person race

Relative chances in a three-person race

Secondary 2
2 marks
TGM Original Questions

Exactly one of the three runners wins; there are no ties.

Arun and Bella have equal probabilities of winning a race. Each is three times as likely to win as Chen. Find the probability that

  1. Arun wins,[1]
  2. Chen loses.[1]

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Answer:(i) \(\frac{3}{7}\) (ii) \(\frac{6}{7}\).

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