this is the only one I have trouble with............

Welcome to the questions that have been spinning the heads of philosophers since time immemorial.

It's a trick question. The bigger question is, "If a coin lands heads-up every time for ten flips, is it reasonable to assume that it is an unweighted coin?" The answer is "probably not."Your answer is of course correct if you assume an unweighted coin. The original question very specifically doesn't assume this.In the real world, coins are sometimes weighted and tests are sometimes biased. If a coin lands heads-up every time in ten flips, it's more likely than not that something fishy is going on. Ergo, the correct answer is that the eleventh time will probably be heads again.

Everything I know about statistics I learned from cartoons. Specifically, the Cartoon Guide to Statistics...

Mm, I disagree - I think you're being too picky. There's enough information to be reasonably sure - not totally, of course - what's going on: it's either a biased flip or a loaded coin.Can we be totally sure? No, of course not. But the question doesn't ask "what will definately happen next?", just "what will probably happen next?"Nonetheless, I think the point has been made. But I forgot what it was, come to think of it.Anyway, Rrhain, by your own logic from another thread, your answer is no answer at all.