#1
|
|||
|
|||
3 to a flush and 3 to a straight
Example:
Holding J [img]/images/graemlins/heart.gif[/img] T [img]/images/graemlins/heart.gif[/img] Flop is 9 [img]/images/graemlins/spade.gif[/img] 4 [img]/images/graemlins/heart.gif[/img] 2 [img]/images/graemlins/club.gif[/img] What are your odds of hitting the flush or straight, or are the odds of hitting your flush or straight even worth figuring? |
#2
|
|||
|
|||
Re: 3 to a flush and 3 to a straight
A useful number to remember is 1081, the number of card
combinations after the flop. Of these, you will make a flush C(10,2)= 45 times and a straight, 3x(16-1)=45 times or altogether 90 times or about 8.3256% of the time. In this specific case, you could also hit an overcard which might be good. |
#3
|
|||
|
|||
Re: 3 to a flush and 3 to a straight
In most cases that is an auto-fold to any bet, unless there was some insane betting preflop.
About 1 out ever 12 of those you would hit either flush or straight, trouble is with flush, not likely to be the nuts. I wouldn't advise chasing that one. -t |
#4
|
|||
|
|||
Re: 3 to a flush and 3 to a straight
bigpooch,
Could you please clarify how you calculated the # of str draws? I dont understand the short hand 3*(16-1)... though your method seems MUCH easier than how I would do it. Thanks in advance Paul |
#5
|
|||
|
|||
Re: 3 to a flush and 3 to a straight
Suppose you have Th9h and the board is 8s3h2d. There are 3
combinations of straights than can show up: QJ, J7 and 76, hence the first factor. The second factor is just the suit combinations of these: 4 x 4 - 1 (can't be both hearts for then a flush would be made and those were already accounted for in the number of flush combinations). Clear enough? |
#6
|
|||
|
|||
Re: 3 to a flush and 3 to a straight
Yes, crystal clear & like I said... much simpler than how I was thinking about it.
Reminds me of something a math prof said a few years back.. he called it problem solving's: "Conservation of Difficulty". Often, there are innumerable ways to arrive at a solution for a particular problem, yet the problem is only as difficult as its simplest method to solve. Choosing more difficult means only results in inefficiency and unnecessary headaches. So again, Thx Much!! |
|
|