Five cards are drawn from a pack of 52 cards. What is the chance that these 5 will contain:
(i) just one ace
(ii) at least one ace?
given: pack of 52 playing cards
formula: 
five cards are drawn at random, therefore
total possible outcomes are 52C5
therefore n(S)=2598960
(i) let E be the event that exactly only one ace is present
n(E)= 4C148C4=778320
(ii) let E be the event that at least one ace is present
E= {1 or 2 or 3 or 4 ace(s)}
n(E)= 4C148C4+4C248C3+4C348C2+4C448C1=886656
18