Too Long Since High School Math

[colpres]

What is the formula for calculating odds when you have some "extra" opportunities to get a card? For example
I have K K, vs an A K and an A 7? Other player wins when A 7 gets 5 to 9 straight with 5, 6, blank, 9 ,8 on the board. How do you calculate the probability of this occurrence BEFORE THE FLOP, since you have 5 chances to get 4 cards? Or in stud 7 Hi/Lo, 3 flush in hand, 2 visible cards of the needed suit, and 3 cards yet to be dealt. Probability of the flush, since you need 2 cards but have 3 chances to get it?

[TomCollins]

You make an annoying post on the probability forum crying about a bad beat.

or go to twodimes.net

[colpres]

Yeah, that site is very helpful, since I asked for the method or formula for calculating the probability. I am deeply sorry for all the annoyance you apparently experienced by reading the previous post - it must have been deeply upsetting.

[Paul2432]

There is no formula. The method is to list all possible outcomes and count the ones that give the desired result. Sometimes logical thinking can be used along with combinatorial methods to simplify the counting.

Paul