Highland Poker

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POKER MATH

Some poker players never entertain the use of any math when it comes to their game, while others swear by it. Whether or not you use complex formulae or the 'four-two' rule for calculating your outs, here's a few interesting facts and figures associated with our beloved game

Hand	Frequency	Probability	Odds against
Straight flush	41,584	0.03108 %	3,216 : 1
Four of a kind	224,848	0.1681 %	594 : 1
Full house	3,473,184	2.60 %	37.5 : 1
Flush	4,047,644	3.03 %	32.1 : 1
Straight	6,180,020	4.62 %	20.6 : 1
Three of a kind	6,461,620	4.83 %	19.7 : 1
Two pair	31,433,400	23.5 %	3.26 : 1
One pair	58,627,800	43.8 %	1.28 : 1
No pair	23,294,460	17.4 %	4.74 : 1
Total	133,784,560	100 %	0 : 1

So you've been dealt your first pocket pair in 3 levels!! Don't get too excited.......

Probability of facing a larger pair when holding	Against 1	Against 2	Against 3	Against 4	Against 5	Against 6	Against 7	Against 8	Against 9
KK	0.0049	0.0098	0.0147	0.0196	0.0244	0.0293	0.0342	0.0391	0.0439
QQ	0.0098	0.0195	0.0292	0.0388	0.0484	0.0579	0.0673	0.0766	0.0859
JJ	0.0147	0.0292	0.0436	0.0577	0.0717	0.0856	0.0992	0.1127	0.1259
TT	0.0196	0.0389	0.0578	0.0764	0.0946	0.1124	0.1299	0.1470	0.1637
99	0.0245	0.0484	0.0718	0.0946	0.1168	0.1384	0.1593	0.1795	0.1990
88	0.0294	0.0580	0.0857	0.1125	0.1384	0.1634	0.1873	0.2101	0.2318
77	0.0343	0.0674	0.0994	0.1301	0.1595	0.1874	0.2138	0.2387	0.2619
66	0.0392	0.0769	0.1130	0.1473	0.1799	0.2104	0.2389	0.2651	0.2890
55	0.0441	0.0862	0.1263	0.1642	0.1996	0.2324	0.2623	0.2892	0.3129
44	0.0490	0.0956	0.1395	0.1806	0.2186	0.2532	0.2841	0.3109	0.3334
33	0.0539	0.1048	0.1526	0.1967	0.2370	0.2729	0.3040	0.3300	0.3503
22	0.0588	0.1141	0.1654	0.2124	0.2546	0.2914	0.3222	0.3464	0.3633