送交者: Enlighten 于 2005-5-12, 19:40:01:
回答: the law of small numbers 由 xj 于 2005-5-12, 18:21:33:
Although the difference between the observed probability and the expected probablility will get closer to 0 if you have more trials, the difference between the NUMBERS of heads and tails actually tends to increase.
That means a gambler will more likely to lose all his money the more he plays, even if it's a fair coin.
You can prove it mathematically or simply run a simulation very easily.