We will in this worksheet calculate the pr-flop probability of wining for player-1 given a random par of cards
for a two person poker game. Any combination of aces are superior if you want to win the game :-)

We can start with some basic poker probabilities:

We are going to use the following notation:

Jack

We can simulate the hands of two poker player as follows:

We can now see who won the game:

We can use math containers as follows:

A generic version is given by (you can change the text in red for any pair of cards):

Finally we can calculate the pre-flop probability of winning given a two card holding for player one
as follows: