Odds of hitting a jackpot

[JasonM]

Now that the jackpot is getting fairly large at my local card club, there has been all kinds of discussion about it. The question came up of what are the odds of hitting it. Nobody had any idea of how to figure that out, so I said I would post it here.

The rules at my local club say that a jackpot is awarded when Aces full of Tens or better is beaten by four of a kind of better. Both pocket cards must play. How do you determine the odds of hitting it? I would guess the easiest way to hit it would be aces full of x, where x = tens or better, beaten by quad x.