View Full Version : Odds for flopping trips with two unpaired cards in the hole..
ohnonotthat
12-19-2005, 09:44 AM
Starting without a pair you'll flop trips 1 time in 70 give or take a few decimal points.
It's ~ 1,000-1 against flopping a full house and 9,799-1 against flopping quads.
*
I hope that helps.
- Please pay the cashier on the way out. /images/graemlins/cool.gif
LetYouDown
12-19-2005, 03:36 PM
Trips, without a boat/quads:
[2 * C(3,2) * 44]/C(50,3) = ~1.35% or ~73.24 to 1
2 of either of your cards (no boat/quads restriction):
[2 * C(3,2) * 48]/C(50,3) = ~1.47% or ~68 to 1
[ QUOTE ]
Trips, without a boat/quads:
[2 * C(3,2) * 44]/C(50,3) = ~1.35% or ~73.24 to 1
2 of either of your cards (no boat/quads restriction):
[2 * C(3,2) * 48]/C(50,3) = ~1.47% or ~68 to 1
[/ QUOTE ]
Can you explain this calc format for me? Particularly what the C function is....
LetYouDown
12-20-2005, 12:25 PM
C stands for Combinations, and is equivalent to the Excel function COMBIN. Basically, C(N,R) is the number of ways to select R items from a set of N items, regardless of order.
Simple example...how many different combinations of A-A are there?
C(4,2) = the number of ways to choose 2 Aces from a set of 4 Aces. Hopefully that makes sense.
Also, C(N,R) = N!/{(N-R)!R!} when N! = the product of all numbers from 1 to N.
e.g 4! = 4x3x2x1 = 24
So, C(4,2) = 4!/{(4-2)!2!} = 4!/(2!2!) = 4x3x2x1/(2x1)(2x1) = 24/4 = 6.
If you don't have Excel you can type 4 choose 2 into Google search and it will split out the number /images/graemlins/smile.gif
Let me try to explain a "little" better.
The denominator is all possible flops (50 unseen cards, and 3 are chosen randomly).
The numerator is counting how many of those combinations give you a set. Out of the 3 cards in the flop, the 2 of like rank that give you a set. Times 2 is because you don't care which of your cards hits a set.
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