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Article 5 - Odds Of Being Dealt A Particular Hand 
The following table shows the number of possible ways to make certain hands and the odds of getting these hands in the first five cards that are dealt from a 52-card deck with no wild cards.
Hand-----------------------Possible ways to make hand---------Odds of being dealt hand in first 5 cards
Royal Flush-----------------------------4---------------------------------------1 in 649,740
Straight Flush--------------------------36--------------------------------------1 in--72,193
Four Ases-------------------------------48--------------------------------------1 in -54,145
Four of a Kind--------------------------624-------------------------------------1 in --4,165
Full House------------------------------3,744----------------------------------1 in --694.2
Flush------------------------------------5,108-----------------------------------1 in --508.8
Straight----------------------------------10,200---------------------------------1 in --254.8
Three of a Kind-------------------------54,912--------------------------------1 in ---47.3
Two Pairs--------------------------------123,552------------------------------1 in ---21.0
Pair of Ases-----------------------------84,480--------------------------------1 in ---30.8
Jacks or Better-------------------------337,920-------------------------------1 in ----7.7
Any Pair----------------------------------1,098,540-----------------------------1 in ----2.4
No Pair-----------------------------------1,302,540-----------------------------1 in ----2.0
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(Submitted on: Wed Jan 29, 2003)
298
Article 6 - Odds Of Making A Hand On The Draw
The following tables show the odds of making a particular hand on the draw for the indicated game categories. The odds shown are approximate. Exact odds depend on the specific game and the playing strategy used.
JACKS OR BETTER
Hand--------------------------------------------------Odds of Making a Hand on the Draw
Royal Flush------------------------------------------------- 1 in 40,200
Straight Flush----------------------------------------------- 1 in 9,200
Four Aces---------------------------------------------------- 1 in 5,200
Four of a Kind----------------------------------------------- 1 in 425
Full House--------------------------------------------------- 1 in 87
Flush---------------------------------------------------------- 1 in 92
Straight------------------------------------------------------- 1 in 89
Three of a Kind---------------------------------------------- 1 in 14
Two Pairs---------------------------------------------------- 1 in 8
jacks or Better---------------------------------------------- 1 in 5
DEUCES WILD
Hand--------------------------------------------------Odds of Making a Hand on the Draw
Natural Royal Flush------------------------------------------ 1 in 45,000
Four Deuces-------------------------------------------------- 1 in 4,800
Deuce Royal Flush------------------------------------------- 1 in 600
Five of a Kind-------------------------------------------------- 1 in 320
Straight Flush------------------------------------------------- 1 in 250
Flush------------------------------------------------------------ 1 in 55
Full House----------------------------------------------------- 1 in 45
Straight---------------------------------------------------------- 1 in 17
Four of a Kind------------------------------------------------- 1 in 16
Three of a Kind----------------------------------------------- 1 in 4
JOKER WILD
Hand---------------------------------------------Odds of Making a Hand on the Draw
Natural Royal Flush--------------------------------------- 1 in 42,000
Five of a Kind----------------------------------------------- 1 in 10,800
joker Royal Flush------------------------------------------ 1 in 9,600
Straight Flush---------------------------------------------- 1 in 1,800
Four of a Kind---------------------------------------------- 1 in 120
Full House-------------------------------------------------- 1 in 65
Flush--------------------------------------------------------- 1 in 65
Straight------------------------------------------------------ 1 in 60
Three of a Kind--------------------------------------------- 1 in 8
Two Pairs--------------------------------------------------- 1 in 9
Kings or Better--------------------------------------------- 1 in 7
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(Submitted on: Fri Jan 31, 2003)
311
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