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Apr 29, 2021 at 0:13 comment added Todd N Looks a lot like an illustration from Keith Schwarz's page keithschwarz.com/darts-dice-coins If that's the case it would be right to credit that source.
May 9, 2012 at 16:01 comment added whuber +1 So far this is the only reply to suggest and describe an efficient algorithm.
May 9, 2012 at 15:56 history edited whuber CC BY-SA 3.0
Added an explanation
Apr 21, 2012 at 11:19 comment added probabilityislogic This algorithm is only best if the probabilities are cheap to compute. For example if $n$ is huge it may better not to construct the whole tree.
Apr 21, 2012 at 3:23 history answered Lucas CC BY-SA 3.0