Timeline for Probability of winning game whereby $T+1$ heads in a row of a coin flip is required to win where $T$ is the number of cumulative tails flipped
Current License: CC BY-SA 4.0
5 events
when toggle format | what | by | license | comment | |
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May 15, 2023 at 1:12 | vote | accept | CommunityBot | ||
May 15, 2023 at 1:12 | |||||
May 14, 2023 at 22:47 | vote | accept | CommunityBot | ||
May 15, 2023 at 1:12 | |||||
May 14, 2023 at 5:25 | comment | added | Noam D. Elkies | @SridharRamesh yes, as I expect to note in the next edit: $\eta(q) = q^{1/24} \prod_{n=1}^\infty (1 - q^n)$ is a modular form of weight $1/2$, so $\eta(e^{-2\pi/t}) = t^{1/2} \eta(e^{-2\pi t})$, and if $q=1/2$ then $2\pi t = \log 2$ makes $t$ small and $e^{-2\pi/t}$ tiny. | |
May 14, 2023 at 5:06 | comment | added | Sridhar Ramesh | Does the shockingly good approximation come from some nice reasoning? | |
May 14, 2023 at 4:16 | history | answered | Noam D. Elkies | CC BY-SA 4.0 |