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14 February, 18:20

Roll a die repeatedly. Say that you stop when the sum goes above 63. What is the probability that the second to last value was X. Make a market on this probability. Ie what is your 90 percent confidence interval.

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  1. 14 February, 21:56
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    Step-by-step explanation: Since we are considering a die, knowing fully well that it has 6 faces from 1-6

    X=63, 6 possible last roll as 1,2,3,4,5,6;

    X=62, 5 possible last roll as 2,3,4,5,6;

    X=61, 4 possible last roll as 3,4,5,6;

    X=60, 3 possible last roll as 4,5,6;

    X=59, 2 possible last roll as 5,6;

    X=58, 1 possible last roll as 6.
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