I said before that the higher mathematics of poker are not very important. It doesn't help a player much to know the chances of being dealt a straight flush or a full house or even a pair. Yet most of the published tables of poker probabilities are confined to that kind of information.

It does help to know the odds against improving any particular hand. A summary of these odds is given on page 94. Memorize those odds. At the very least they will tell you when the pot is offering you good odds on a speculative play.

In the following pages I give some special phases of poker mathematics.

Possible Poker Hands in a 52-Card Deck

Straight Flush	40
Four of a Kind	624
Full House	3,744
Flush	5,108
Straight	10,200
Three of a Kind	54,912
Two Pairs	123,552
One Pair	1,098,240
No Pair, less than above	1,302,540
Total	2,598,960

Possible Hands of Less Value Than One Pair

If Ace Counts High	If Ace Counts Low
Ace High	King High	502,860
King High	Queen High	335,580
Queen High	Jack High	213,180
Jack High	Ten High	127,500
Ten High	Nine High	70,380
Nine High	Eight High	34,680
Eight High	Seven High	14,280
Seven High	Six High	4,080
Total	1,302,540

Chances of Being Dealt Poker Combinations in the Original Five Cards

Royal Flush	1 in 649,740
Straight Flush	1 in    64,974
Four of a Kind	1 in      4,165
Full House	1 in         694
Flush	1 in         509
Straight	1 in         255
Three of a Kind	1 in           47
Two Pairs	1 in           21
One Pair	1 in      2 1/2
No Pair	1 in            2

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