Hi, I am struggling with the following question: How many tosses does it take for a mathematician to figure that a coin is biased? I think that it is impossible. Here is my logic. Assume that there is a biased coin, which always comes up heads and that the mathematician is testing the coin. She has tossed it 1000 times consecutively and has got heads everytime. She still can’t form the opinion that the coin is baised because this outcome is likely (a very low probability though) with a fair coin. Is my logic correct? Thanks.