PDA

View Full Version : Math for flushes from suited down cards, flop, turn and river.

VivaLaViking
08-11-2005, 01:15 PM
Here is math that I believe to be correct but could one of you guru's eyeball it and comment so others may not be miss-led? Thank you.

<font class="small">Code:</font><hr /><pre>
Flushes From Suited Down Card (includes straight flushes)
Flop (3-Board) (50 C 3) = 19600
3 Flush Cards (11 C 3) * (39 C 0) = 165 * 1 = 165
2 Flush Cards (11 C 2) * (39 C 1) = 55 * 39 = 2145
1 Flush Cards (11 C 1) * (39 C 2) = 11 * 741 = 8151
Turn (4-Board) (50 C 4) = 230300
4 Flush Cards (11 C 4) * (39 C 0) = 330 * 1 = 330
3 Flush Cards (11 C 3) * (39 C 1) = 165 * 39 = 6435
2 Flush Cards (11 C 2) * (39 C 2) = 55 * 741 = 40755
River (5-Board) (50 C 5) = 2118760
5 Flush Cards (11 C 5) * (39 C 0) = 462 * 1 = 462
4 Flush Cards (11 C 4) * (39 C 1) = 330 * 39 = 12870
3 Flush Cards (11 C 3) * (39 C 2) = 165 * 741 = 122265

Flopping a flush [165/19600] * 100 ~ .84%
4-flush on flop [2145/19600] * 100 ~ 10.94%
3-flush on flop [8151/19600] * 100 ~ 41.89%
Flush by the turn [(6435 + 330)/230300] * 100 ~ 2.94%
4-flush on turn [40755/230300] * 100 ~ 17.7%
Flush by river [(462 + 12870 + 122265)/2118760] * 100 ~ 6.4%

</pre><hr />

AaronBrown
08-11-2005, 02:47 PM
All correct.

LetYouDown
08-11-2005, 03:44 PM
Yeah, meant to post earlier...it all looks right, after I figured out what the hell you were getting at. For some reason I found it confusing. Although, looking at it now it doesn't seem as bad as it first did.