> Would you guess it's random, or biased? Well, I'd guess that it's not a coin-flip at all; even a biased coin won't produce 10,000 heads and no tails, unless

> Would you guess it's random, or biased? Well, I'd guess that it's not a coin-flip at all; even a biased coin won't produce 10,000 heads and no tails, unless it's a two-headed coin. Let's go back to the actual case in hand: suppose you provide me with "111111", and not 10,000 1s. I simply have no way at all of determining whether that is more or less likely to have come from a random source. So I would decline your bet. If it was 10,000 1s, then maybe I'd be a fool to bet it was of random origin; but you can't convince me that a string of 6 1s is or isn't of random origin. So no bet. This is all irrelevant. We're discussing a single sequence of 6 digits. There are not enough samples to perform statistical analysis. Probability doesn't come into it.