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Questions › DSE › DSE 2006 › Q32
2 marksStatistics › Probability and Bayes' theorem › Markov chains and random walksHardabout 4 min

DSE 2006 Question 32: Probability and Bayes' theorem

For the three-player elimination contest (AAA and BBB play round 111, the winner meets CCC, and so on, with the contest won by the first player to win two rounds in succession; each round is 505050-505050): the probability that CCC becomes the winner of the contest is

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For the three-player elimination contest (A and B play round 1, the winner meets C, and so on, with the contest won by the first player to win two rounds in succession; each round is 50 - 50): the probability that C becomes the winner of the contest is (A) 1/7 (B) 1/5 (C) 1/8 (D) 2/7

Probability and Bayes' theorem has come up 190 times in 7 exams since 2004.

What this question tests

This question is on Markov chains and random walks, part of Probability and Bayes' theorem in Statistics.

Probabilities when the next step depends only on the present state.

TestStop has 6 past-paper questions on this subtopic.

Practise Probability and Bayes' theoremMore on Markov chains and random walks

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Question from the DSE 2006 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.