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[QUOTE="Macaroon, post: 2320151, member: 94849"]
The formula is simple. You use the "rule of 2" to get a percentage chance of cards dropping..

The rule of 2 is: For every out you have to make a (probable) winning hand you multiply this by 2 times the number of cards to come down on the board. You can check this as follows - say you have AK before the flop. The chances of an Ace or a King coming down on the flop is 6 (3 aces and 3 Kings left in the pack) times 3 cards to come on the flop times 2 = 6x6 = 36%. This is approximate but good enough for quick calculations.

Assuming one does not drop, the chance of one coming on the turn alone is 6 times 1 times 2 = 6x2 = 12%. And so on.

To get the chances of 77 against 66 the formula is: The 66 hand needs another 6 to drop (forget the straights etc for the moment). There are two left and five cards to drop in total so the chances are 2 x 5 x 2 = 20%.

Actually you should then add: But if a 6 does drop there is still a 20% chance that a 7 will drop as well. So the 20% chance of a 6 dropping and winning is reduced by 20% (a fifth) which leaves you with a very approximate 16% chance of the 66 winning.

The rule of 2 assumes there are 50 cards in the pack and that there are always same number of cards left to be dealt after the flop, turn, river etc when of course this is not so. So the actual percentages are always different but near enough for our purposes.
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