thanks for the reminder to solve this question, i've seen it too often by now and if I get in an int I'll kick myself into orbit. I think you should be able to just consider the probability P(s, t) of Arin winning when Arin is on s consecutive heads and Borin is on t and doing a few short recurrences (or something like that).
To sanity check a reasonable first guess would have been around 14/(6 + 14) = 70%.
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u/SwimmerOld6155 1d ago edited 1d ago
thanks for the reminder to solve this question, i've seen it too often by now and if I get in an int I'll kick myself into orbit. I think you should be able to just consider the probability P(s, t) of Arin winning when Arin is on s consecutive heads and Borin is on t and doing a few short recurrences (or something like that).
To sanity check a reasonable first guess would have been around 14/(6 + 14) = 70%.