Ah yes, that's good stuff.
Another very common error is to mis-apply the "law of averages", especially in gambling establishments. If the roulette wheel has come up red nine times in a row, black is not more likely to come up this time. Yes, it's true that 10 reds in a row is very unlikely (approximately 0.001), but the odds of black coming up on any given spin are completely independent of the results of any previous spins; they remain at 18/37 (on a single-0 wheel) or 18/38 (on a wheel with 0 and 00).