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Odds Questions

 

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In the other sections you've seen examples of interesting odds questions PokerCruncher can answer:

 

Some Interesting Odds Questions

 

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Specific hands vs. specific hands preflop, e.g. AA vs. KK preflop.

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Specific hands vs. specific hands on the flop, e.g. the 3-player top pair top kicker vs. top pair lower kicker vs. open end straight draw on the flop example in the Odds Calculator section.

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Specific hands vs. random hands, e.g. AA vs. a random hand.

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Specific hands vs. hand ranges, e.g. the QQ vs. AA/KK/AK/JJ example in the Hand Ranges section.

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The many scenarios in the Library and Odds Tests: preflop and postflop situations, combinations of made hands vs. draws vs. random hands.

 

Here we will go deeper and focus on more-challenging odds questions that PokerCruncher can answer, using primarily its Partial Simulation feature. For example:

 

Some More-Challenging Odds Questions

 

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How often does AK flop top pair? Or other non-pairs like KQ, QJ, AT, etc.? How often does AK make top pair by the turn? By the river?

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How often does KK run into an ace on the flop? How often does QQ, JJ, etc. run into an overcard on the flop? How about by the turn? By the river?

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How often does a suited connector like 87s overtake AA, KK, etc. on the flop?

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If you have KK, QQ, JJ, etc. then what are the odds that someone has a higher pocket pair preflop? E.g. what are the odds that someone has AA if you have KK?, and what are the odds that someone has AA/KK if you have QQ?, say in a 9-handed game? What about in a 7-handed game? In a 5-handed game? Partial simulation to the hole cards lets you answer this.

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If you have a pocket pair then how often will you flop a set?

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If you have a non-pocket-pair e.g. 72 then how often will you flop trips?

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If you have suited cards then what are the odds of flopping a flush?

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If you have a connector e.g. 76 then what are the odds of flopping a straight? What if you have a one-gap connector e.g. 75? Two-gap?

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If you have a one-gap suited connector e.g. 86s then what are the odds of flopping a strong draw, i.e. either a flush draw or an open end straight draw or a double gut straight draw? What if you have a two-gap suited connector?

 

We challenge you to find other odds calculators that can answer these kinds of questions.

 

Here are some examples of more-advanced odds questions involving multiple hands that PokerCruncher can answer, again using primarily its partial simulation feature:

 

Some More-Advanced Odds Questions

 

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If two players have suited cards of the same suit then what are the odds that they'll (both) flop a flush?

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If say 5 players see the flop and the flop has a pair e.g. the flop is 772, then what are the odds that someone has flopped trips or better (assuming random cards for all of the players)? What if 7 players see the flop? 3 players?

 

As a test, give your answer for the last question before reading PokerCruncher's answer in the below paragraphs ...

 

The last question is an example of conditional probability, which can lead to counter-intuitive results. To make the example more specific, say you raise preflop with AA and 5 opponents see the flop with you and the flop has a pair e.g. it's 772 (this involves 6 players, slightly different than the original 5 players question above but doesn't make too much of a difference). You may think, "it's really hard to flop trips or a full house, how lucky can these people be?, I have to be in the lead 90+% of the time here". The problem with this reasoning is, it's true that it's very hard to flop trips starting from scratch, but given the condition that the flop is paired, it becomes much easier to flop trips, especially if many players see the flop. Furthermore if there's significant betting action in the hand, the probability that someone has trips is probably conditioned even higher, but we won't discuss betting action here.

 

Here's PokerCruncher's answer: you're in the lead on the flop with AA about 60% of the time. The other 40% of the time, one of your 5 opponents has flopped trips or a full house or quads (this is assuming random cards for your 5 opponents). Is this answer of 40% higher or lower than you expected? If you nailed this question you have our congratulations! Actually it's probably not as hard as we made it out to be, maybe just counter-intuitive at first.

 

Limitless Variety Of Interesting Odds Questions

 

These examples just scratch the surface of what you can do with PokerCruncher. The powerful and general simulation and modeling features complement each other well and enable you to answer a limitless variety of interesting odds questions, both basic and advanced questions. The variety of scenarios and questions is limited only by your skill and experience and creativity (to get you started, PokerCruncher's Library has a good broad set of scenarios that will take you a long way). As you become more experienced and improve you'll find that you'll set up more interesting or complex scenarios to investigate new aspects of the game, or maybe even simpler and subtler but still important scenarios.

 

All of this powerful analysis is running directly on your mobile phone so you can think and study poker anywhere, any time.

 

 

 

 

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