Poker Room High Hand

How can you calculate what the "High Hand of the hour" will be in a poker room under these conditions:

TEXAS HOLD'EM ONLY
1) Both hole cards must play for the hand to qualify for the promotion
2) There are X tables in the room (obviously the number of tables will affect the results.)
3) Each table deals 45 hands per hour
4) Only the highest hand of the hour qualifies for this payout
5) High Hand must be a full house or better

Is there a way to determine what percentage of the time the following results will occur as a factor of X?
No High Hand
Full House
Quads
Straight Flush
Royal Flush


Thanks!