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Timeline for Expected number of games until bust

Current License: CC BY-SA 4.0

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Feb 27, 2022 at 3:06 history edited user127776 CC BY-SA 4.0
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Feb 27, 2022 at 0:29 vote accept John Smith
Feb 27, 2022 at 0:29
Feb 26, 2022 at 23:47 vote accept John Smith
Feb 26, 2022 at 23:47
Feb 26, 2022 at 18:05 history edited user127776 CC BY-SA 4.0
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Feb 26, 2022 at 17:14 comment added cavok To connect this with @JamesMartin's answer, note that the calculation outlined in the paragraph "Now if you look at..." indeed results in $\frac{1}{1-2p}$ if $p<1/2$, and gives $\frac{1-p}{p}\cdot\frac{1}{2p-1}$ if $p>1/2$. (Where does the $9.99196$ come from though?)
Feb 26, 2022 at 12:17 comment added user127776 I am not sure what do you mean by implementation. In your formula you are missing Catalan numbers in your coefficients so it is not correct. I also added a code implementation for a Monte-Carlo simulation which agrees with the theory.
Feb 26, 2022 at 12:15 history edited user127776 CC BY-SA 4.0
added 655 characters in body
Feb 26, 2022 at 3:29 history answered user127776 CC BY-SA 4.0