Timeline for probability puzzle - selecting a person
Current License: CC BY-SA 2.5
3 events
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Apr 17, 2010 at 23:58 | comment | added | Ross Tang | @Douglas: I read your comment of random walk before giving the answer. I gave this answer, since unknown (google) asked for any approach for this problem. I am just giving a general approach for a complicated probability problem. Sorry that I can't solve the equations analytically. Would you mind giving me some guide in solving these kinds of partial difference equations? I don't know if generating function works in this case, due to the circle index. | |
Apr 9, 2010 at 18:43 | comment | added | Douglas Zare | You can make explicit formulas involving a single summation for your a(n,i). The number of walks which stay within an interval can be counted, and you want the walks from the origin to L or R which do stay inside the path excluding i, but which do not stay inside the path excluding i and the other neighbor. See mathoverflow.net/questions/16892/… | |
Apr 9, 2010 at 18:20 | history | answered | Ross Tang | CC BY-SA 2.5 |