Assume that each of Poker hands are equally likely. The total number of hands is

\[\begin{pmatrix} 52 \\5\end{pmatrix}\]

Find the probability of being dealt each of the following:

- a straight flush ( all cards of the same suit and in order)
- a regular straight (but
**not**a flush) - two of a kind
- four of a kind
- two pairs (but
**not**four of a kind) - a full house (a pair and three of a kind)

In all cases, we mean exactly the hand stated. For example, four of a kind does not count as 2 pairs and a full house does not count as a pair or three of a kind.