Not everybody realizes how important maths can be in poker, especially in 5cd poker. Meanwhile statistics and probability calculus. This time the importance of probability calculus will be demonstrated on the example of the all cards, not only a single card.
In the Freeroll poker, it is sufficient to base on the mathematical calculations, every time you have to make some decision. This property is called PotOdds. This topic will be discribed later. However now we will show the probability of getting some cards at the beginning and the probability of matching some combinations.
A probability table for getting different cards’ combinations by a deal.
Combination The number of possible combinations Probability
Poker 40 about 0,0000154
Four of kind 624 about 0,00024
Full 3744 about 0,00144
Colour 5108 about 0,00197
Strit 10200 about 0,00392
Three 54912 about 0,0211
Two pairs 123552 about 0,0475
A pair 1098240 about 0,423
A high card 1302540 about 0,501
The probability of getting the combination by changing some cards:
You have a pair – You want to change three cards.
Two pairs - 18,6%
Three - 12,2%
You have two pairs – you want to change a card.
Full - 8,3%
You have four cards in the same colour- You change a card
Colour - 18,75%
You have four cards, each following the previous one (for example: 9, T, J, Q) – You want to change a card.
Strit - 16,6% (you will get a Strit by every eight and every King)
You have cards like above but there is one card between missing (for example: 9, T, Q, K) – You want o change a card.
Strit - 8,3%