In relation to the second event of the previous problem, suppose now that the number of throws

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In relation to the second event of the previous problem, suppose now that the number of throws is not fixed and consider more generally the event Ak: we get at least one double six when we throw two dice k times.

(i) Verify that the probabilities P(Ak) increase as k increases.

(ii) Find the smallest value of k such that P(Ak) ≥ 1∕2.

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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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