Timeline for Calculate the discrete probability of x number of good outcomes occurring before y number of bad outcomes
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 10, 2021 at 21:12 | vote | accept | user15156281 | ||
| Feb 7, 2021 at 1:53 | answer | added | Henry | timeline score: 1 | |
| Feb 6, 2021 at 15:31 | history | edited | user15156281 | CC BY-SA 4.0 |
added 86 characters in body
|
| Feb 6, 2021 at 14:24 | comment | added | Liviu Nicolaescu | This is a special case of the more general urn problems. For $x\leq n\leq x+y-1$, the probability of having flipped $x$ good tiles in $n$ flips is $$p_n=\frac{\Big(\prod_{k=0}^{x-1}(8-k)\Big)\Big(\prod_{j=0}^{n-x-1}(8-j)\Big)}{\prod_{i=1}^{n-1}(16-i)}\binom{n}{x}.$$ You areb looking at $p_x+p_{x+1}+\cdots +p_{x+y-1}$ | |
| Feb 6, 2021 at 14:07 | review | First posts | |||
| Feb 6, 2021 at 15:55 | |||||
| Feb 6, 2021 at 14:03 | history | asked | user15156281 | CC BY-SA 4.0 |