(Generalization of the Chevalier de Mre problem) In the experiment of throwing two dice n times, for...

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(Generalization of the Chevalier de Mére problem) In the experiment of throwing two dice n times, for n ≥ 2, let us consider the event Bn∶ a double six appears at least once in the n throws.

(i) Using the result of Part (ii) of Example 3.18, calculate the probability of the event Bn.

(ii) How many throws are needed so that the probability of Bn is at least a half?

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Introduction To Probability Volume 2

ISBN: 9781118123331

1st Edition

Authors: Narayanaswamy Balakrishnan, Markos V. Koutras, Konstadinos G. Politis

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