Just some random questions I came up with. You can look up the answers to all of them, really, but what is the fun in cheating?

1) What is the lowest ranking hand that can be the nuts on the river?
EDIT: *NOT* pre flop hand... lowest ranking 5 card hand that can be the nuts.

2) What is the lowest ranking hand preflop that can flop the stone cold nuts (unbeatable no matter what the turn and river are)

3) What hand has the greatest chance of beating AA preflop?

4) What non-pair hand has the greatest chance of beating 22 preflop?

5) What is the approximate % chance of top pair and a flush draw beating bottom 2 pair all in on the flop?

6) How much more often should you be dealt 72o than AKs?

7) What is the chance of being dealt AA If you were dealt AA on the last hand?