Card Games Gratefull thanks to The Wizard of odds for this valuable information!!
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Video Poker
On a typical video poker machine, payouts start with a minimum hand of a pair of jacks. Pay tables allocate the payout for hands based partially upon how rare they are, and also based upon the total theoretical return the game operator chooses to offer.
Some machines offer progressive jackpots for the royal flush, (and sometimes for other rare hands as well), thereby spurring players to both play more coins and to play more frequently.
Newer versions of the software no longer deal out all 10 cards at once. They now deal out the first five cards, and then when the draw button is pressed, they generate a second set of cards based on the remaining 47 cards in the deck. This was done after players found a way to reverse engineer a random number generator's cycle from sample hands and were able to predict the hidden cards in advance.
Kinds of video poker
Newer video poker machines may employ variants of the basic five-card draw. Typical variations include Deuces Wild, where a two serves as a wild card and a jackpot is paid for four deuces or a natural royal; pay schedule modification, where four aces with a five or smaller kicker pays an enhanced amount (these games usually have some adjective in the title such as "bonus", "double", or "triple"); and multi-play poker, where the player starts with a base hand of five cards, and each additional played hand draws from a different set of cards with the base hand removed. (Multi-play games are offered in "Triple Play", "Five Play", "Ten Play", "Fifty Play" and even "One Hundred Play" versions.)
In the non-wild games (games which do not have a wild card) a player who plays five or six hundred hands per hour, on average, may receive the rare four-of-a-kind approximately once per hour, while a player may play for many days or weeks before receiving an extremely rare royal flush.
Full pay games
Full pay video poker machines are games which offer the typical maximum payback percentage for that game type. Payback percentage expresses the long-term expected value of the player's wager as a percentage. A payback percentage of 99 percent, for instance, indicates that for each $100 wagered, in the long run, the player would expect to lose $1. Payback percentages on full-pay games are often close to or even in excess of 100 percent, assuming error-free perfect play.[4]
Full-pay Jacks or Better, for example, offers a payback percentage of 99.54 percent when played with perfect strategy. It must be remembered that winning the jackpot (royal flush) is also part of the "long run" in every variant. One should not play a "full pay" video poker game expecting not to lose, because even over many thousands of hands played, you are playing a game that pays back less than 100%.
Casinos often place full pay machines alongside other machines with pay schedules that offer less attractive payback percentages, leaving it up to the player to identify which video poker machines offer full pay schedules.
Most full pay machines are configured with a pay schedule that is only full pay when the maximum number of credits is bet. (See the pay schedule tables later in this article for details.)
| Hand |
1 credit |
2 credits |
3 credits |
4 credits |
5 credits |
| Royal Flush |
250 |
500 |
750 |
1000 |
4000* |
| Straight Flush |
50 |
100 |
150 |
200 |
250 |
| Four of a kind |
25 |
50 |
75 |
100 |
125 |
| Full House |
9 |
18 |
27 |
36 |
45 |
| Flush |
6 |
12 |
18 |
24 |
30 |
| Straight |
4 |
8 |
12 |
16 |
20 |
| Three of a Kind |
3 |
6 |
9 |
12 |
15 |
| Two Pair |
2 |
4 |
6 |
8 |
10 |
| Jacks or Better |
1 |
2 |
3 |
4 |
5 |
| Theoretical Return |
98.37% |
98.37% |
98.37% |
98.37% |
99.54%* |
"Tens or Better" is a variation of 6/5 Jacks or Better. The minimum
paying hand is a pair of tens, rather than a pair of Jacks. Strategy is
similar between the two games, in spite of the very different full
house and flush payouts.
Deuces Wild
"Deuces Wild" is a variation of video poker in which all twos are
wild. (Wild cards substitute for any other card in the deck in order to
make a better poker hand). In Deuces Wild, the payout for a four of a
kind makes up approximately ⅓ of the payback percentage of the game,
and a four of a kind occurs on average approximately every fifteen
hands. Deuces Wild can be found with pay schedules that offer a
theoretical return as high as 100.762 percent, when played with perfect
strategy: this full-pay version is found only in Nevada. It is also
available with other pay schedules that have lesser theoretical returns:
| Hand |
1 credit |
2 credits |
3 credits |
4 credits |
5 credits |
| Natural Royal Flush |
300 |
600 |
900 |
1200 |
4000* |
| Four Deuces |
200 |
400 |
600 |
800 |
1000 |
| Wild Royal Flush |
25 |
50 |
75 |
100 |
125 |
| Five of a Kind |
15 |
30 |
45 |
60 |
75 |
| Straight Flush |
9 |
18 |
27 |
36 |
45 |
| Four of a Kind |
5 |
10 |
15 |
20 |
25 |
| Full House |
3 |
6 |
9 |
12 |
15 |
| Flush |
2 |
4 |
6 |
8 |
10 |
| Straight |
2 |
4 |
6 |
8 |
10 |
| Three of a Kind |
1 |
2 |
3 |
4 |
5 |
| Theoretical Return |
99.679% |
99.679% |
99.679% |
99.679% |
100.762%* |
"Bonus Poker" is a video poker game based on jacks or better,
but Bonus Poker offers a higher payout percentage for four of a kind.
The full-pay version of this game returns 99.2%. The game has
multiple versions featuring different bonus payouts based on the
ranking of the four of a kind.
"Double Bonus" video poker is a variation of Jacks or Better with a
bonus payout for four aces. This variation offers up to a theoretical
return of 100.1725 percent, when played with perfect strategy -
however, it must be noted that this % is only on a "10/7" version video
poker game (10/7 being the payouts for a full house and a flush). There
are many other video poker varieties of 10/6, 9/6, etc that have
slightly lower than the most generous 10/7 version payout. Although the
full-pay version has a theoretically-positive return, few play well
enough to capitalize on it. Double Bonus is a complex game.
It is also available with other pay schedules that have lesser theoretical returns:
| Hand |
1 credit |
2 credits |
3 credits |
4 credits |
5 credits |
| Royal Flush |
250 |
500 |
750 |
1000 |
4000* |
| Straight Flush |
50 |
100 |
150 |
200 |
250 |
| Four Aces |
160 |
320 |
480 |
640 |
800 |
| Four 2, 3, or 4 |
80 |
160 |
240 |
320 |
400 |
| Four 5-K |
50 |
100 |
150 |
200 |
250 |
| Full House |
10 |
20 |
30 |
40 |
50 |
| Flush |
7 |
14 |
21 |
28 |
35 |
| Straight |
5 |
10 |
15 |
20 |
25 |
| Three of a Kind |
3 |
6 |
9 |
12 |
15 |
| Two Pair |
1 |
2 |
3 |
4 |
5 |
| Jacks or Better |
1 |
2 |
3 |
4 |
5
|
| Theoretical Return |
99.1079% |
99.1079% |
99.1079% |
99.1079% |
100.1725% |
"Double Double Bonus" video poker is a variation of Jacks or Better
which offers bonus payoffs for different four of a kinds, as seen in
the payout table below. Full pay Double Double Bonus can be found with
pay schedules that offer up to a theoretical return of 100.067 percent,
when played with perfect strategy. It is also available with other pay
schedules that have lesser theoretical returns:
| Hand |
1 credit |
2 credits |
3 credits |
4 credits |
5 credits |
| Royal Flush |
250 |
500 |
750 |
1000 |
4000* |
| Straight Flush |
50 |
100 |
150 |
200 |
250 |
| Four Aces w/2, 3, or 4 |
400 |
800 |
1200 |
1600 |
2000 |
| Four 2, 3, or 4 w/A-4 |
160 |
320 |
480 |
640 |
800 |
| Four Aces |
160 |
320 |
480 |
640 |
800 |
| Four 2, 3, or 4 |
80 |
160 |
240 |
320 |
400 |
| Four 5-K |
50 |
100 |
150 |
200 |
250 |
| Full House |
10 |
20 |
30 |
40 |
50 |
| Flush |
6 |
12 |
18 |
24 |
30 |
| Straight |
4 |
8 |
12 |
16 |
20 |
| Three of a Kind |
3 |
6 |
9 |
12 |
15 |
| Two Pair |
1 |
2 |
3 |
4 |
5 |
| Jacks or Better |
1 |
2 |
3 |
4 |
5 |
| Theoretical Return |
98.9154% |
98.9154% |
98.9154% |
98.9154% |
100.067%* |
Other kinds of video poker only have positive theoretical returns when the progressive jackpot
is high enough. Many establishments advertise with a billboard when the
progressive jackpot is high enough. Otherwise sub-optimal games like 8/5 jacks or better can become positive expectation when the jackpot is large enough.