Practical Poker Math

3. Odds in Texas Hold’em
consider the number of rag hands to be the total number of
possible hands (1,326) minus all of the non-rag hands.
Non-Rag Hands
The WILLNOTs are all of the non-rag hands:
78 – Pair Hands
28 – Suited Connectors
48 – Suited Ace
96 – 2 Unpaired Big Cards
250 – Non-Rag Hands (WILLNOTs)
To find the likelihood of rags in the hole, subtract the total
number of non-rag hands (WILLNOTs) from the Total
Possible hands to find the number of possible rag hands
(WILLs):
Total Possibilities = 1,326
– WILLs = 250
WILLNOTs = 1,076
WILLNOTs ( 1,076) : WILLs ( 250)
1,076 : 250
Reduce
1,076 / 250 : 250 / 250
.23 : 1
The probability of rags in the hole is
WILLs
* 100 = Probability as %
Total Possibilities
66