I've spent the past few weeks walking through the
strategy table for full-pay jacks or better video poker. This week, we are in the heart of the table,
which is to say we are in the middle of the really bad hands. But, bad hands are the harder hands to play
correctly and are just as important as the good hands in achieving the
theoretical strategy of any particular game.
We finished up last week with the 4-Card Straights. From here the hands only get uglier. The next several entries are:
· 3-Card Double Inside Straight Flush with 2 High Cards
· 3-Card Inside Straight Flush with 1 High Card
· 3-Card Straight Flush with 0 High Cards
· 2-Card Royal Flush - "V3"
If you're relatively new to strategy tables, this part of
the table has problem just given you a doozy of a headache! The good news is that it is not nearly as
confusing as it might appear. Many of
the hands listed above cannot co-exist - meaning that you can't have more than
one in a particular hand. Thus, remembering
the exact order may not be as important as it might appear to be. For example, you can't have a 3-Card Double
Inside Straight Flush with 2 High Cards in the same hand as a 3-Card Straight
with 0 High Cards. You'd either have to
have at least 4 cards of one suit or have 2 sets of 3-Cards of different suits
- rather difficult with 5 cards.
There are still important things we can learn from this
section of the table. We separate the
hands the way we do because in some games the impact of the subtle differences
and the order of the hands will be different and thus become pertinent. The first thing you might notice is the
relationship of the top three hands. We
get a sense of the importance of a High Card.
A 3-Card Double Inside Straight Flush with 2 High Cards has a higher
expected value than a 3-Card Inside Straight Flush with only 1 High Card. Essentially, the value of the extra High Card
is greater than the value of the additional Straight Flushes (and Straights)
that may occur as a result of having an Open vs. Inside vs. Double Inside
Straight Flush. What this should also
tell us is that you shouldn't hold your breath for those Straight Flushes. They will occur, but not often. At the same time, I have written at length
over the years about how the Straight Flush is the forgotten hand of video
poker. Playing 3-Card Straight Flushes
correctly is very important to drawing them in proper abundance. While their pays are far short of the Royal,
they still pay double what Quads pays so their value should not be dismissed.
Next up is the 2-Card Royal Flush - "V3". 2-Card Royals are given 4 different
designation from "V0" to "V3". We
need to do this because the expected values of many of the hands in this part
of the table differ by only 0.01 or 0.02.
As not all 2-Card Royals have identical expected values, we need to
distinguish between them. V3 means that
the 2-Card Royal contains neither a 10 nor an Ace. An Ace in a 2-Card Royal essentially makes it
a Double Inside Royal. All 2-Card Royals
have the same number of ways to make a Royal - one. But, with the Ace, we eliminate all ways to
make a Straight Flush. While a '10'
doesn't have this problem, it does have the problem that it is not a High
Card. So, Aces are worth less than
Jacks, Queens and Kings and 10's are worth less than Aces. Thus, a 2-Card Royal with neither an Ace nor
a '10' is the one with the highest expected value. A V2 2-Card Royal means that the 2-Card Royal
has an Ace, but no 10. A V1 2-Card Royal
is one that has no Ace, but does have a 10.
Lastly, a V0 2-Card Royal consists of a 10 AND an Ace.
For the moment, I'll jump to below the strategy table -
to the V0 2-Card Royal. We are 'below'
the strategy table because this hand does not exist on the strategy table for full-pay
jacks or better. This means that we DO
NOT PLAY an A-10 2-Card Royal. Barring
the other three cards forming an otherwise playable hand, we would simply hold
the single Ace. More on that in a couple
of weeks.
The proper play of 2-Card Royals is critical to learning
how to master video poker strategy.
Unlike the prior 3 hands, 2-Card Royals overlap with EVERYTHING. You'll have 2-Card Royals with High Pairs,
Low Pairs, 4-Card Straights, 4-Card Flushes, 3-Card Straight Flushes, 3-Card
Inside Straight Flushes, etc... If you
blindly go after every 2-Card Royal, you'll hit more than your fair share of
Royals, but you'll lower the payback of your play. If you ignore 2-Card Royals, you'll miss you
fair share of Royals AND lower the payback of your play. The only answer is to play them when you are
supposed to. Based on the portion of the
strategy table shown, you can easily have a 3-Card Double Inside Straight Flush
with 2-High Cards AND a 2-Card Royal - V3.
For example, you could have 8-J-Q suited. From the strategy table, we learn that we
keep the 8 in this case. You might also
have a 3-card Straight Flush completely apart from a 2-card Royal. For example, 3H, 4H, 5H, JD, QD. In this case, we discard the 2-Card Royal in
favor of the 3-Card Straight Flush with 0 High Cards.
I've now covered about 2/3 of the strategy table for
jacks or better video poker. Next week,
we continue through the rest of the messy hands.