In a poker game, 5 cards are dealt from a standard 52 card deck that has been well shuffled. You are the only player in this scenario.
a) How many 5 card hands are possible?
b) What is the probability that you are dealt two pairs?
c) What is the probability that you are dealt a three of a kind or 4 of a kind? Note: three of a kind means that the other 2 cards are NOT a pair.
d) What is the probability that you are dealt a full house (this is 3 of a kind and a pair)?