Either pocket aces or pocket kings = 109.5-to-1 (0.91%)ĮXPLANATION: The odds of the first card being dealt to you being an Ace or a King are 8 in 52 (4 Aces and 4 Kings).The odds of your second card being an Ace (given the fact that your first card was an Ace) are 3 in 51. Pre-flopĮXPLANATION: The odds of the first card being dealt to you being an Ace are 4 in 52.

Following up on the logic from the last example, there are (50+49+48+47+46) different board combinations but like the last example we want to ignore duplicate combinations where you have the same cards but in different order.

Different board combinations = 2,118,760ĮXPLANATION: This is when you are dealt 2 cards and want to know how many board combinations there are with 50 cards left.

Then only 2 cards can be the 2nd card and only 1 card can be the last card (3*2*1=6). Either of the 3 cards can be the first card. There are six different ways that a set of 3 cards can be ordered. Then we divide by 6 is because the order of the cards on the flop doesn't matter so any flops that have the same cards but in different order will be considered 'duplicate' flops and will not be considered. There is a 1 in 49 chance of any particular card being the second flop card and a 1 in 48 chance of any particular card being the third flop card. There is a 1 in 50 chance of any particular card being the first flop card. CombinationsĮXPLANATION: This is when you are dealt 2 cards and want to know how many flop combinations there are with 50 cards left. To calculate the poker odds on your own, cut and paste the formula below into a spreadsheet.

Poker 3 vs 2 pair