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AMO 2021 - Secondary 3 (Grade 9) Question 10

AMO · AMO 2021 - Secondary 3 (Grade 9)

Question 10

Adam and Bob play a best-of-five chess match: the first to win three rounds wins. Adam wins each round with probability 0.6 and Bob with probability 0.4. Find the probability that Bob wins the match, rounded to two decimal places. Assume independent rounds and no draws.

Question illustration
  1. 0.21
  2. 0.24
  3. 0.32
  4. 0.41
  5. 0.64