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Poker Math Question

Here's one for all you math gurus. This might be the wrong place to
post it because this isn't a VP question, but I thought maybe you'd
like a challenge.

A casino has a "bad beat" jackpot in the live Hold 'em games. Payoff
isn't important, just curious what the odds are of this happening.
Losing hand must be full house (aces over tens) or better. Winning
hand must be 4OAK or better. Both hands must use both of their hole
cards to form the hand.