example: Let X = number of heads observed when a fair coin is flipped 4 times.
S = {HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT,
THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT}
The probability distribution for X:
| X | 0 | 1 | 2 | 3 | 4 | 
| P(X=x) | 1/16 | 4/16 | 6/16 |