Win, draw or lose

Win, draw or lose

Secondary 4
3 marks

Ravi plays one chess match. The match ends in exactly one of three ways: Ravi wins, the match is drawn, or Ravi loses. The probability that Ravi wins is \(0.45\) and the probability of a draw is \(0.2\).

  1. Find the probability that Ravi loses.[1]
  2. Find the probability that Ravi does not lose.[1]
  3. Explain why \(\mathrm P(\text{Ravi wins})+\mathrm P(\text{Ravi loses})\) is not \(1\).[1]

Solution:

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Answer:(a) \(0.35\) (b) \(0.65\) (c) A draw is also possible: \(0.45+0.35=0.8\), and the missing \(0.2\) is the draw.

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