Suppose I have a large jar of evenly weighted coins. I know that some of the coins are double-headed, some of them are double-tailed, and some of them are normal, but I've no idea how many. I draw 100 coins at random and toss each coin once, throwing 90 heads and 10 tails. What can be said about the probable numbers of double-headed, double-tailed, and normal coins

My untutored intuition is that there are probably more double-headed than double-tailed coins, but that's as far as I can take it. I'm not even sure how to calculate that probability.

(To my mind, this is related to the question I asked yesterday about survey responses, but I'm unsure about this, and I mention it only as evidence that I'm not fishing for an answer to a homework question.)

*in my sample*?My untutored intuition is that there are probably more double-headed than double-tailed coins, but that's as far as I can take it. I'm not even sure how to calculate that probability.

(To my mind, this is related to the question I asked yesterday about survey responses, but I'm unsure about this, and I mention it only as evidence that I'm not fishing for an answer to a homework question.)

Last edited: