Texas Hold'em Poker Probability - Paired Flop cont..

From the previous discussion, we assumed that the players play any kind of starting hands.  Or we should say that the probability distribution is the same for each starting hand.

If a player is selective on the starting hands with considering each player's chips, strategy, style, and position,  the probability of each starting hand will be different.

So the estimated probability of the possible 5 card combination (after the flop) is based on the fact (the paired flop) and the probability distribution of the player's starting hand.

For example, if the flop is 99K, and from the past experience player X only plays starting hand 99.  Then we would know the probability of four of a kind is 100% for player X.