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Do All the Good Hands You Remember
Mean You Almost Won?
by Alan Krigman
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Video poker games have high "hit rates" compared to most other slot machines. Bells, whistles,
and electronic renditions of tunes that would drive the average person bonkers if they didn't
signal success are activated on over 46 percent of all rounds on jacks-or-better and deuces wild
versions. It's almost as good, nearly 44 percent of all tries, on units with single wild jokers. These
figures are for players who know what they're doing, of course. And, gilding the lily, are the
fairly strong chances of finishing with premium hands -- straights, flushes, or above.
Some of this good news, sadly, is illusion. Roughly half the rounds in which the machines
declare players to be winners are really "pushes." That is, bettors get their wagers back but don't
actually generate anything as crass as earnings. Further, the profits for most honest-to-goodness
video poker hits are modest when viewed alongside the rewards accompanying the admittedly
lower-probability boffo combinations on typical reel-type slots.
These factors don't necessarily make video poker superior or inferior to other slots having
equivalent house advantages. They do, however, lead to games with different characteristics. In
particular, they temper the bankroll swings players are apt to encounter. One result is that video
poker buffs who size their bets to their budgets can get long sessions on moderate stakes. True,
lots of action for the money isn't as nice as a big score. It's often an acceptable next-best thing,
though, since it keeps bettors positioned to grab the prize, offers a hefty dose of the thrills
integral to the casino experience, and helps rack up the points every insider knows are key to
being treated with respect.
Another illusion fostered by high hit rate draws solid citizens to video poker. The likelihood of
surviving long sessions, even when fate is not especially kind, plus the speed at which most folks
roar through the game, mean that players see huge numbers of hands during their casino visits.
And, it doesn't take too many isolated blockbusters in a long series of results to leave video
votaries sure their machines were on the verge of hot cycles, even though they didn't happen to
win that day.
Odds against receiving various hands
at jacks-or-better video poker
on the initial deal (without drawing)
high pair . . . . . . . . . . . . . . . . .7-to-1
two pairs . . . . . . . . . . . . . . . . 20-to-1
three of a kind . . . . . . . . . . . . . 46-to-1
straight. . . . . . . . . . . . . . . . .254-to-1
flush . . . . . . . . . . . . . . . . . .504-to-1
full house. . . . . . . . . . . . . . . .693-to-1
four of a kind. . . . . . . . . . . . .4,164-to-1
non-royal straight flush. . . . . . . 72,192-to-1
royal . . . . . . . . . . . . . . . .649,739-to-1
I'll illustrate how playing multitudes of rounds during single sittings can encourage such belief.
Consider instances of hands "made" on the initial deal -- those that win without discarding and
drawing any cards -- at a jacks-or-better game. The odds against receiving such a hand on any
round are given in the above list. On this basis alone, you can see that chances aren't
outrageous for low-return hands like high pairs, two pairs, or even trips. When all made hands
are taken together, the odds against a guaranteed win before the draw are only 3.85-to-1.
Say that a middlingly fast player sees 1500 hands in a sitting. This represents an average of
somewhat over eight rounds per minute for three hours. It's well within the capabilities of folks
who don't have to agonize over their discard strategies, and whose arthritis takes a turn for the
better as soon as their fingers are exposed to whatever the casinos pump into the air.
In 1500 rounds, this person has a greater-than-even chance of receiving at least five pat straights
and of being dealt more than two made flushes. Further, the odds against the initial deal yielding
over two full houses are a respectably short 1.7-to-1. And at least one four-of-a-kind isn't all that
unlikely, either, fighting odds of only 2.3-to-1. Little wonder that even players who suffered
defeat believe victory was close at hand.
The poet, Sumner A Ingmark, recognized the danger of a relatively few noteworthy events crowding masses of the mundane from the mind when he mused:
Recollections unreliable,
Yield conclusions less than viable.
(c) 2000 ICON/Information Concepts Inc
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