Faults in my math? (easy one)
 

Hi! Let's say that I have a flus draw on the flop and gets all-in, then I say that it is:

(9/47)+(9/46)=0,387141.......

That's quite right, right?

But what if I had 5 cards to go after the flop? (means it's 9 cards total on the table which you can use)
That would make:

(9/47)+(9/46)+(9/45)+(9/44)+(9/43)=1,000989.....

That would make 100%. You can not say that it is 100% since sometimes it will come a table that ain't got a third club, spade, diamond or heart.

How does that go around? Or am I wrong somehow?

Re: Faults in my math? (easy one)
 

[ QUOTE ]
Hi! Let's say that I have a flus draw on the flop and gets all-in, then I say that it is:

(9/47)+(9/46)=0,387141.......

That's quite right, right?


[/ QUOTE ]

No. Principle of Inclusion-Exclusion

Re: Faults in my math? (easy one)
 

I'm sorry I haven't got to that math-level in school and will probably never do. (But I'm willing to learn since I've got very easy to learn math).

Could you make a practical example with a couple of cards, and then another example with like a dice or something, then I could probably figure out what all the things means by myself.

Thanks for the link though, I got a small part of it.

Re: Faults in my math? (easy one)
 

[ QUOTE ]
Hi! Let's say that I have a flus draw on the flop and gets all-in, then I say that it is:

(9/47)+(9/46)=0,387141.......

That's quite right, right?

[/ QUOTE ]

Wrong. It is 9/47 + (1-9/47)*9/46. The 9/46 only applies to the times that you miss on the turn since the 9/47 already accounts for the times that you hit on the turn, so you must multiply 9/46 by the probability of missing on the turn (1-9/47). This gives P(hit on the turn) + P(miss on the turn AND hit on the river).

This post gives 3 correct methods for the flush draw problem. Method 3 is the inclusion-exclusion principle.

Re: Faults in my math? (easy one)
 

Thanks, BruceZ, I've read the first one and just laid my eyes on the second one. [img]/images/graemlins/smile.gif[/img]