Posts Tagged ‘probability’

On Pocket Aces

Hello,

Well I guess all of us know the feeling when you go all in preflop only for someone to call and turn over bullets. I myself even saw them beaten for several times. Because of this, I wanted to find out what the probability of overturning them is. For this, kindly consider the following scenario:

AA vs AKs
AA vs KK
AA vs KQs

I badly need to hear your thoughts or opinion. Thanks in advance!

Best regards,
Joey
Joey,

Kings win against Aces 19% of the time. A-K offsuit wins 7% of the time. A-K suited 12% of the time. K-Q suited is 18% of the time.

The only way to turn this around is to keep playing. You will lose sometimes with Aces. I did so just last night. I had a 3 way all in. I had Aces, an opponent had Kings, and the third person had A-10 suited. A 10 on the flop and turn ended my day.

About Flush

Hi,

I don’t know why but it seems to me that drawing for a flush fails more often that I expect. Well, I know that I should also consider that the other players or burn cards are of my suit. For example, I hold two hearts and two hearts come on the flop. In reality, it’s 9 outs for me with two shots to get those outs. And if I will base it on the probability chart, there’ll be a 39% chance to complete. If in quick method, 9 outs * 2 opportunities = 18 * 2 + 1 = 37%. More or less, I’ll call a decent number of bets with a 1:3 chance of a flush.

However, what if there are 8 other players at the table and every player is holding two hole cards, so that would be 16 cards, which probability tells me means 4 hearts? Do you think I should just consider that there are only 5 outs? If so then there’ll be 21% chance, 1:5. Calling will not be a good idea then.

Hope to hear from you in no time.

Thanks in advance.

Regards,
Dennis Martin
Dennis,

You don’t take into consideration other players when calculating your odds. Logic would dictate that you should, but in reality you do not. You go with your nine outs.

Math and Poker

Hello,

I have some questions to ask. But if I may just say it, I’m not actually into poker. My name is Matthew and I’m just in my eighth grade. I actually have a project that has something to do with math and maybe with poker as well. I need to find questions that are math related.

Now, here are my questions:

1. In Texas Holdem, what’s the probability of getting pocket aces?
2. What are the dimensions of a poker card in regular size?
3. What’s the maximum number of players allowed in Texas Holdem?
4. What’s the probability percentage of getting a royal flush?

Thanks in advance. Your help will be much appreciated!

Again,
Matthew
Matthew

1. Odds of getting pocket aces is 220 to 1.
2. Dimension of most poker card are 3.5″ high and 2.5″wide.
3. Theoretically 22 players can play a single hand of holdem. Typical games are 9 or 10 handed.
4. The odds of making a royal flush is 1 in 649740 or around .0032%.