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Poker Odds |
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 =Accepts U.S. players |
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Different flop combinations
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19,600
MATH: (50*49*48)/(3+2+1) EXPLANATION: This is assuming your are dealt 2 cards and want to know how many flop combinations there are with 50 cards left. So there is a 1 in 50 chance of any particular card being the first flop card. 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. The reason why 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 are six differnet ways that a set of 4 cards can be ordered. Either of the 3 cards can be the first card. Then only 2 cards can be the next card and only 1 card can be the last card (3*2*1=6).
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Different board combinations
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2,118,760. MATH: (50*49*48*47*46)/(5+4+3+2+1) EXPLANATION: This is assuming you are dealt 2 cards and want to know how many board combinations there are with 50 cards left. 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 the scenarios where you have combinations that are the same but in different order.
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PRE-FLOP The probability of being dealt:
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Pocket aces ODDS: 220 to 1. CHANCES: 1 in 221. PERCENT: 0.45%. MATH: (52/4)*(51/3) EXPLANATION: The odds of the first card being dealt to you being an Ace are 4 in 52. The odds of your second card being an Ace (given the fact that your first card was an Ace) are 3 in 51.
0.45%
Either pocket aces or pocket kings ODDS: 109.5 to 1. CHANCES: 1 in 110.5. PERCENT: 0.905%. MATH: (52/8)*(51/3) EXPLANATION: 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 the same as your first card are 3 in 51.
0.9%
Any pocket pair ODDS: 16 to 1. CHANCES: 1 in 17. PERCENT: 5.88%. MATH: (51/3) EXPLANATION: The key to the equation here is to realize that to calculate the odds of getting ANY pocket pair is that it doesn’t matter what your first card is. It just matters that your secondcard match your first. After you get your first card there are 51 cards left in the deck and only 3 that match the same rank as your first.
5.9%
AK suited ODDS: 330.5 to 1. CHANCES: 1 in 331.5. PERCENT: 0.3%. MATH: (52/8)*(51/1) EXPLANATION: The odds of your first card being an Ace or King is 8 in 52. Then, there is only one other card in the deck that can make you a suited big slick.
0.3%
AK offsuit ODDS: 109.5 to 1. CHANCES: 1 in 110.5. PERCENT: 0.9%. MATH: (52/8)*(51/3) EXPLANATION: The odds of your first card being an Ace of a King are 8 in 52. The odds of your other card making you unsuited Big Slick are 3 out of 51.
0.9%
AK suited or offsuit ODDS: 81.88 to 1. CHANCES: 1 in 82.88. PERCENT: 1.21%. MATH: (52/8)*(51/4) EXPLANATION: The odds of your first card being an Ace of a King are 8 in 52. The odds of your other card making you Big Slick are 4 out of 51.
1.2%
Any two suited cards ODDS: 3.25 to 1. CHANCES: 1 in 4.25. PERCENT: 23.53%. MATH: (51/12) EXPLANATION: It doesn’t matter what your first card is. The second After you get your first card there will only be 51 cards left and only 12 will be the same suit as your first – so 12 out of 51.
24%
Eitherpocket aces, pocket kings or AK ODDS: 46.36 to 1. CHANCES: 1 in 47.36. PERCENT: 2.11%. MATH: (52/8)*(51/7) EXPLANATION: This is a good calculation to do if you are getting deep into a tournament where you are in the middle of the pack and need to double up in order to get up near the chip lead and want to do it with a really good hands. There are 8 Aces or Kings for you to get as your first card. After that there are 7 Aces or Kings left.
2.1%
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Poker Odds
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Dealt a pocket pair 16 to 1 AA 220 to 1 Any AK (suited or unsuited) 82 to 1 An A will flop (and no K) when you hold KK 3.3 to 1 or 23% An A or K flops (and no Q) when you hold QQ 1.3 to 1 or 43% An A, K or Q flops (and no J) when you hold JJ .7 to 1 or 59% Flopping at least a pair with any two cards 2.2 to 1 or 32% Flopping at least a set when holding a pair 7.5 to 1 Flopping a flush when holding two suited cards 118 to 1 Complete a flush when starting with two suited cards 15 to 1 or 6% Flopping a flush draw when holding two suited cards 8 to 1 Completing the flush draw by the river 1.8 to 1 Backdoor flush 23 to 1 or 4.2% KK loses to QQ if played to river 4.4 to 1 Set on flop completing to a full house or better 2 to 1 or 33% 2H 2D beats AC KC 53% |
