For the three-player elimination contest (won by the first player to win two rounds in succession, with each round a fair -): the probability that the game continues indefinitely, with no one winning twice in succession, is
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For the three-player elimination contest (won by the first player to win two rounds in succession, with each round a fair 50 - 50): the probability that the game continues indefinitely, with no one winning twice in succession, is (A) 1/10²³ (B) 0 (C) 1/2²³ (D) 1/2¹⁶
Probability and Bayes' theorem has come up 190 times in 7 exams since 2004.
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.
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Question from the DSE 2006 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.