Tobyr: I'm not saying that it remembers the past events...I'm talking about binomial probability (the probability of an event with two possible outcomes).
Consider...after opening 20 huts, with a 5% chance at each hut, there is a 0.95 * 0.95 * 0.95.... = 0.95 ^ 20 chance that a city will not have been founded, ie a 1 - (0.95 ^ 20) chance that one would have been.
I was saying that after 20 huts therse was a 65% chance of having a city, not that the 21st hut had a 65% chance of yielding a city. Hope that clears things up.
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May you live in Interesting Times...
Consider...after opening 20 huts, with a 5% chance at each hut, there is a 0.95 * 0.95 * 0.95.... = 0.95 ^ 20 chance that a city will not have been founded, ie a 1 - (0.95 ^ 20) chance that one would have been.
I was saying that after 20 huts therse was a 65% chance of having a city, not that the 21st hut had a 65% chance of yielding a city. Hope that clears things up.
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May you live in Interesting Times...
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