Suppose that a fiat coin is tossed 10 times independently. Determine the pf of the number of heads that will be obtained. I'm feeling really out of touch with this material. It seems like any number of heads is equally likely but I know that just can't be right. My reasoning for saying such is that the probability of a head is 1/2 and the probability of a tail is 1/2, So the probability of a head, then tail, then head is (1/2)(1/2)(1/2) Or head, head, head is (1/2)(1/2)(1/2) But I know that getting 5 heads in the ten flips and getting all heads aren't equally likely.. are they? So can someone "remind" me how my thinking is wrong?