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Old 10-27-2006   #10 (permalink)
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Re: The Roulette Conundrum

Erasmus wrote:
Quote:
All things being equal and averaged over a long period, about 1/37 of the rolls will hit 0.
That is correct.

Quote:
What we should be looking at is the average number of rolls between hitting 0 twice.
The actual average is, perhaps unsurprisingly: 36 (or 19 for a double-zero wheel).

However that is not what is being asked. The question is explicitly requiring the most probable Mode number of consecutive 1-36 spins between two zeros. In other words, if you took a large enough sample, which single number of consecutive non-zero spins would actually occur the most often.

I stand by the same answer: NONE. If it had to be higher than that, I would bet on ONE.

I acknowledge that this conclusion will be contraversial.

Simon

Last edited by Simon; 10-27-2006 at 01:19 PM..
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