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13-05-2023
Mathematics

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You throw a fair die n times. Denote by Pn the probability of throwing an even number of sixes in n throws. (a) Prove the following difference equation 5 Pn 1 (- 1 – Pn-1) + pn-1. 6Pn (b) Solve above difference equation to obtain an explicit formula for Pn.

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