# 7 Card Stud Poker Odds

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7 Card Stud Poker is considered one of the more popular variants of Poker in Online Casino. This might be attributed to the large number of players which can take place in one game, thus also operating as a social agent, and also to the relative simplicity of the game. The game is stylishly organized into "streets", with the name of the street mimicking the number of cards you are dealt each round (for example, on the first round players are dealt three cards, hence, this is the "Third Street"). The aim of this article is to present some Tables and info about odds and probabilities present in standard 7 Card Stud Poker.

Odds of hands

A cardinal element of winning 7 Card Stud Poker is to understand the different hands you can be dealt. If you're dealt a three of a kind on Third Street, you're basically good, but this is really dependent on the number of players. Below illustrated are odds of being dealt certain hands.

Three of a kind – 424:1

3 Suited Cards- 18:1

Any pair – 5:1

Completing a Straight with first 3 Cards sequenced – 6:1

Completing a Flush with first 3 Cards suited – 5:1

Completing a full house with three of a kind + Three other cards in 6th street – 4:1

Completing a full house with first four cards combined for a pair – 3.5:1

Completing two pair if starting with a pair in the 3rd street – 1.4:1

Improving at least two pair if beginning with straight flush draw – 1.2:1

Odds of Flushes & Straights

Draw one card to a flush – 1:45

Holding a double open ended straight – 1:5

Holding an open ended straight – 1:11

Holding an inside straight – 1:11

Holding a double open ended straight flush – 1:23

Holding an inside straight flush – 1:46

Being rolled up with three of a kind, improving to full house – 1:3

Mathematical probabilities

In 2000, Mathematicians in Simon Fraser University, Vancouver, made calculations to try and determine the exact number of 7 Stud Card Poker hands. Below is a table showing the probabilities the mathematicians came up with:

 Hand Number Probability Straight Flush 41,584 .00031 4-of-a-kind 224,848 .0017 Full House 3,473,184 .026 Flush 4,047,644 .030 Straight 6,180,020 .046 3-of-a-kind 6,461,620 .048 Two pairs 31,433,400 .235 Pair 58,627,800 .438 High card 23,294,460 .174

Keeping it academic, below is another table of 7 Card Stud Poker combinations as composed by the Wizard of Odds.

 Hand Combinations Probabilities Royal flush 4,324 0.00003232 Straight flush 37,260 0.00027851 Four of a kind 224,848 0.00168067 Full house 3,473,184 0.02596102 Flush 4,047,644 0.03025494 Straight 6,180,020 0.04619382 Three of a kind 6,461,620 0.04829870 Two pair 31,433,400 0.23495536 Pair 58,627,800 0.43822546 Ace high or less 23,294,460 0.17411920 Total 133,784,560 1.00000000
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