• How Does 3 Card Poker Payouts
• 3 Card Poker Payout Calculator Cash

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This table game is one of the simplest types of casino poker. Unlike many other types of poker, both the dealer and the player are dealt only three cards. In BetVoyager’s version of this poker game, we have altered the standard rules in order to increase payouts when the player wins (see table 1). Furthermore, the player can play on four boxes at once and view all his cards as soon as they are dealt. The basic rules of casino poker are described in our Guide section.

BetVoyager online casino features our conventional version of 3 Card Poker and a version of this casino game with no house edge.

Main Features of 3 Card Poker

1. The player can play on up to four boxes in three card poker. The player can place an ANTE bet and/or a bet on the bonus (called Pair Plus) on any box.

2. Each box in play is dealt three cards. The cards on all boxes are turned face-up immediately after the deal in 3 Card Poker. The dealer also receives three cards, which are dealt face-down.

3. Poker hands are not ranked in the same order as 5-card poker. 3-card poker hands are ranked in the following order of seniority:

   • Straight Flush
   • Three of a Kind
   • Straight
   • Flush
   • Pair
   • Ace High or Less

   The hand A-K-Q is the highest straight and the hand 3-2-A is the lowest one in three card poker.

4. If the player made his ANTE and has a straight or higher, he receives an ANTE Bonus (table 1). This payout is made regardless of the strength of the dealer’s hand.

5. On each box, the player can either fold and lose his ANTE, or continue the game by making a BET equal to the ANTE.

6. The dealer needs a queen high or better to qualify. If the dealer doesn’t qualify, the ANTE pays out 1:1 while the BET doesn’t pay anything. If the dealer has a qualifying hand but the player’s hand is better, both bets pay out 1:1.

7. If you play more than one box, the ante amounts cannot be 5 times more or less than each other.

Basic Rules of 3 Card Poker

1. Before the cards are dealt, the player chooses which boxes he wants to play on and makes his ANTE. In addition to this basic bet on the box (or instead of it), the player can also make a Pair Plus bet. With this bet, the player is betting on receiving a pair or higher in his original hand.

2. A sign on the table indicates the range of bets permitted (minimum and maximum). The size of a Pair Plus bet is independent of the size of the ANTE, but both of these bets must fall within the table’s range.

3. Each box has the following three figures: a square, an ellipse, and a rectangle. The ANTE is placed on the ellipse and the Pair Plus bet is placed on the square. The rectangle is intended for the BET (see paragraph 7).

4. To make a bet in three card poker, it is first necessary to choose a chip with the desired face-value. At the beginning of the game, this chip is chosen by default, and the chip with the minimum face-value fixes itself onto the cursor. If the player wants a chip with a different face-value, he can select it by clicking on that chip with the cursor. The player can also use the scroll wheel on his mouse to change the chip’s value. After the chip is selected, the player can place a bet by clicking the mouse on the desired part of the game table and his bet will appear there. Each subsequent click adds another chip of the selected face-value to the bet. If the player wants to remove the last chip from his bet, he can remove the chip fixed onto the cursor by clicking the cursor on any empty part of the game window and then clicking on this bet.

5. The 'Clear' button can be pressed to remove all the bets from the table. If the player wishes to repeat his bets from the previous hand, he can press the 'Rebet' button. The 'Deal' button will begin the game after all bets have been made.

6. After the cards have been dealt, successive play on boxes begins. First, the Pair Plus bet is settled. The payouts for this bet are shown in table 1. If the player made his ANTE and has one of the three best hands — a straight flush, three-of-a-kind or a straight — he immediately receives an ANTE Bonus.

7. The player has two options on each box:

   • raise the initial wager by making a BET equal to the ANTE (the Bet button)
   • fold and lose the ANTE (the Fold button)

8. When the player has made a decision on his boxes, the dealer’s cards are turned over and the final results are determined. The dealer qualifies with a queen high or better, and his minimal qualifying hand is Q-3-2 in 3 Card poker. If the dealer doesn’t qualify, the ANTE pays out 1:1 and the BETS are not paid.

9. If the dealer qualifies and his combination is better than the player’s, the player loses his ANTE and his BET. If the player and the dealer have hands of equal value, the game ends in a draw and the ANTE and BET are returned to the player. If the player has the better hand, both his bets pay out 1:1.

Table 1. Bonus payout for the ANTE and the Pair Plus in 3 Card Poker

3 Card Poker with No House Edge features a slightly different payout scheme. It can be viewed in the game window of this poker game. The casino doesn’t have an advantage on either the ante wager or the Pair Plus bet.

Brian Alspach

13 January 2000

Abstract:

The types of 3-card poker hands are

• straight flush
• 3-of-a-kind
• straight
• flush
• a pair
• high card

The total number of 3-card poker hands is .

A straight flush is completely determined once the smallest card in thestraight flush is known. There are 48 cards eligible to be the smallestcard in a straight flush. Hence, there are 48 straight flushes.

In forming a 3-of-a-kind hand, there are 13 choices for the rank and4 choices for the 3 cards of the given rank. This implies there are3-of-a-kind hands.

The ranks of the cards in a straight have the form x,x+1,x+2, wherex can be any of 12 ranks. There are then 4 choices for each card ofthe given ranks. This yields total choices. However,this count includes the straight flushes. Removing the 48 straightflushes leaves us with 720 straights.

To count the number of flushes, we obtain choicesfor 3 cards in the same suit. Of these, 12 are straight flushes whoseremoval leaves 274 flushes of a given suit. Multiplying by 4 produces1,096 flushes.

Now we count the number of hands with a pair. There are 13 choices forthe rank of the pair, and pairs of the chosen rank.The non-pair card can be any of the remaining 48. Thus, thereare 3-card hands with a single pair.

We could determine the number of high card hands by removing the handswhich have already been counted in one of the previous categories.Instead, let us count them independently and see if the numbers sumto 22,100 which will serve as a check on our arithmetic.

A high card hand has 3 distinct ranks, but does not allow ranks of theform x,x+1,x+2 as that would constitute a straight. Thus, there arepossible sets of ranks from which we remove the12 sets of the form .This leaves 274 sets of ranks.For a given set of ranks, there are 4 choices for each cardexcept we cannot choose all in the same suit. Hence, there are274(4³-4) = 16,440 high card hands.

How Does 3 Card Poker Payouts

If we sum the preceding numbers, we obtain 22,100 and we can be confidentthe numbers are correct.

Here is a table summarizing the number of 3-card poker hands. Theprobability is the probability of having the hand dealt to you whendealt 3 cards.

3 Card Poker Payout Calculator Cash