Section:
Advice > Gaming Tips
Strategies
for Video Poker
by
Jeffrey Lotspiech
Part
1 | Part 2 | Part
3 | Part 4
Variations
of Video Poker Machines
Variations
of Deuces Wild
There are many
variations on deuces wild, some of which are reasonable
games. One variation is called Deuces Deluxe. Its gimmick
is to pay more for natural fours-of-a-kind and straight
flushes. Its return is 100.2%. A second variation is Double
Deuces, which doubles the four deuces mini-jackpot and slightly
increases the five-of-a-kind and straight flush payoffs.
Its return is 99.6%, and its variance is higher than normal
deuces wild. I have found a very few Double Deuces machines
where the four deuces mini-jackpot is 2500 coins. This is
an outstanding machine, with a 101.6% return, the highest
I know of. It also has a very large variance.
Both of these
variations reduce the bread-and-butter payoff of deuces
wild, the four-of-a-kind payoff, from 25 to 20. Not surprisingly,
this also turns out to be the technique used by the many
rip-off variations of deuces wild. You might think that
if you reduce the four-of-a-kind payoff, but increase the
payoff of the "more likely" hands like flush and full house,
the net return would have to increase. The fallacy is that
with four wild cards the normal hand frequencies are greatly
distorted. For example, fours-of-a-kind are five times more
likely than full houses.
Another interesting
machine type is the five wild machine, which adds a joker
to the four wild deuces. The net return on these machines
is 99.0%, which is rather low. However, the five wild machines
have a very low variance. Thus, if you like the thrill of
the inflated hands of the other wild card machines, but
do not like their high variance, you might enjoy five wilds.
Special
Promotional Payoffs
Sometimes casinos
will offer special promotions where they give extra payoffs
on video poker hands. These can be quite imaginative:
- A box of chocolate-covered
Macadamia nuts with each natural four-of-a-kind.
- A "card of
the day", where you get an extra $25 for a natural four-of-a-kind
in that card.
- 50,000 coins
(instead of 4,000) if your royal flush is in sequential
order left-to-right or right-to-left.
- Double payoffs
on bonus machines for four aces, between 12:00 and 2:00
am.
Are these worth
anything? Remember, you are asking that of someone who advocates
joining a slot club for the extra 0.2% return it offers.
Of course they are worth something; look for them. Are they
worth enough so you can quit your day job? No.
Actually, if
you are mathematically inclined, it is usually fairly easy
to estimate the minimum value of promotions like these.
For example, take the sequential royal flush promotion.
The number of different ways you can order five things is
5*4*3*3*1 or 120 ways, so there are 120 different royal
flush orders. Two of these are sequential. Thus, 1 out of
60 royal flushes will gain you the 50,000 coins. Thus you
could estimate that the royal flush payout is actually increased
to (50000 + 4000*59) / 60 or 4767 coins. For any game, you
can use my tables to look up how much of your total return
is from the royal flush payoff, and increase that by 4767/4000.
You will get a figure 0.3-0.4%.
But this is a
minimum, because it assumes you do not adjust your playing
strategy for the promotional payoff. Playing slightly differently
will nudge up the return a bit. So how should you adapt
your play? You can pretty much be guaranteed that radical
departures from your normal play is not a good idea. However,
you can sometimes "hand calculate" some minor modifications.
Again using the sequential royal flush example, you can
observe that if you have four royal flush cards in the right
place, your chance of drawing the fifth is 1 out of 47.
Thus this hand is worth 50000/47=1067 coins, not even counting
all the chances at flushes, straights, etc. that you have.
Thus, if you had a wild royal flush with deuces, worth 125
coins, discarding the single deuce should be a no-brainer
if you could make a sequential royal flush.
Jeff
Lotspiech
is a Research Staff Member in the computer science department at
the IBM Almaden Research Center in San Jose, California. You can
visit his site for a great listing of the whereabouts of Good
Video Poker Machines.
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