The sample space is not just {heads,tails}. That would be the sample space if you were only going to toss the coin one time. Here is the sample space: {HHHH,HHHT,HHTH,HHTT,HTHH,HTHT,HTTH,HTTT,THHH,THHT,THTH,THTT,TTHH,TTHT,TTTH,TTTT} I've colored red all the cases that have three heads and 1 tail. That's 4 out of 16, so the probability iswhich reduces to So th of the time on the average you'll get three heads and 1 tail. Edwin