An experiment consists of dealing 8 cards from a standard 52- card deck. What is the probability of being dealt 8 hearts?
Solution:-
P(E) = 
Let the sample space S be the set of all 8-card hands that could be selected from a 52-card deck. Since the order in a hand does not matter, the number of possible selections is C52,8.
The number of element in S is
n(s) = C52,8 = 752538150
Let the event E be the set of all 8-card hands that could be selected from the 13 hearts in the deck. Again , the order does not matter so the number of possible selection is c13,8. The number of element in E is n(E) = c13,8 = 1287
Thus , the probability of being dealt 8 hearts is
0.000002