Odds to hit a straight flush

[hukilai]

What are your odds to hit a straight flush on flop if you hold suited connectors?

[KJL]

Depends on how many straights the connectors can make.

Connectors that make 1 straight (AK) 19599-1
2 straights (KQ) 9799-1
3 straights (JT) 6532-1
4 straights (T9) 4899-1

[hukilai]

one number, please...
Like 3919:1, for example... [img]/images/graemlins/smile.gif[/img]

[KJL]

Can't give you 1 number unless you know which specific connectors they are.

[aloiz]

(2 + 2*2 + 2*3 + 7*4)/ 13 / C(50,3) =~ .000157 or 6369:1


aloiz

[KJL]

[ QUOTE ]
(2 + 2*2 + 2*3 + 7*4)

[/ QUOTE ]
Can you explain what those numbers represent. I can't figure it out.

[aloiz]

2 is the number of ways A2s and AKs can make a str-flush
2*2 is the number of ways 23s and KQs can make str-flush
etc..

It would have been clearer if I had written it out like:

2/13 * 1/C(50,3) + 2/13 * 2/C(50,3) + 2/13 * 3/C(50,3) + 7/13 * 4/C(50,3)

2/13 times your suited connector is AK or A2 in which case you can only make your straight flush one way. 2/13 you have 23 or KQ and can make the straight flush 2 ways, and so on.

aloiz

[KJL]

oh, that makes sense, thanks.