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Question of the Day - 08 June 2020

Q:

Which is less volatile, a good-rules blackjack game using correct basic strategy or a good video poker game played with a strategy card?

A:

[Editor's Note: Blackjack Hall of Famer Arnold Snyder answers this one.]  

Here’s a general rule about volatility in games of chance: A game will be less volatile the closer it is to making even-money payouts on your bets. If you bet a dollar to win a dollar, that game will have low volatility. If you bet a dollar to win a hundred dollars, that game will have higher volatility.

So you probably already can see that blackjack has less volatility in the long run than video poker. Other than for the payout on a natural, blackjack has all even-money payouts. The extra money you place on the table for double downs, pair splits, or insurance bets raises the volatility slightly, but nothing like video poker where royal flushes, straight flushes, and four-of-a-kinds have relatively monster payouts.

There are other considerations, however. You can play video poker for 5¢. You’re unlikely to find many blackjack games that take wagers below $5. So if your volatility concern is related to keeping your bankroll intact, you’ve got to consider the cost of playing based on the allowed bet sizes.

With video poker, Stanford Wong estimated a player who is playing professionally should have a bankroll of about $10,000 to play the 25¢ machines. This is primarily due to the volatility while you’re waiting to hit a royal flush. You can sometimes go a very long time (weeks) between royals. Wong assumes you’ll be playing the 5-coin max per hand ($1.25) at a speed of 500 hands per hour. You’ll hit a royal about once every 40,000 hands, or about once every 80 hours of play at this rate. (Non-pros play a lot more slowly.)

This is not to suggest that if you don’t hit a royal within 40,000 hands, you will be stuck for $10,000. Wong is basing his bankroll requirement on the assumption that you will sometimes go much longer than 40,000 hands between royals.

If you could find a blackjack game that allowed $1.25 bets, you would not need a bankroll this large to play the game. Assuming you played 100 hands per hour and the house had ½% advantage, on average it would take you about 16,000 hours to lose $10,000 at this level of play.

Keep in mind that blackjack card counters or other system players who use betting spreads, regardless of whether they’re using a valid winning system or not, will be increasing their volatility on the game. Even though they're still getting even-money payouts on their bets, they'll sometimes win or lose big and sometimes win or lose small.

Because there are so many different types of blackjack games and so many different types of video poker machines, your question doesn’t lend itself to an easy one-size-fits-all answer. But just knowing that even-money payouts provide less volatility should guide you in the right direction. If you play roulette, stick to the even-money bets like red/black or odd/even. If you play craps, bet pass or don’t pass and avoid betting on specific numbers.

If you just feel like gambling, well then, have fun, but don’t complain if you blow all of your Vegas mad money on day one.

 

No part of this answer may be reproduced or utilized in any form or by any means, electronic or mechanical, without the written permission of the publisher.

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Comments

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  • Jackie Jun-08-2020
    Thank you Mr Snyder
    Your answer is the best, most logical, and intelligent answer ever given regarding gambling,  You nailed it on the head, all other so called experts about a game focus entirely upon the big win and detract away from the huge bankrolls and long term waits for the big payout.  Thank you again. 

  • rokgpsman Jun-08-2020
    Odds for royal flush
    In the classes I've taken and books I've read about video poker you'll average one royal flush for every 40,000 hands. Is Arnold referring to a particular form of video poker that averages giving you a RF every 30,000 hands? That's a 25% improvement from what I understood the odds to be. 

  • Anthony Curtis Jun-08-2020
    RF frequency
    You are correct that royal flush frequency is about 1 in 40,000 hands when playing proper strategy. Arnold references Professional Video Poker, in which Wong writes "a royal flush occurs once per 30,000 to 50,000 hands, depending on how aggressively you try for a royal." Arnold chose the low end for his example, but since the question specifies "playing with a strategy card," 40,000 is a better choice and we've amended the answer to reflect that.

  • dchealer Jun-08-2020
    Wonderful clarity, thanks!
    What an erudite answer! Many professionals have this knowledge/understanding but are unable to communicate in such an understandable manner, void of mind numbing mathematical computations. :)

  • Kevin Lewis Jun-08-2020
    Technically...
    Raising one's bets while continuing to play the same game does not increase the game's volatility, because the range of outcomes as expressed in bets won or lost remains the same.
    
    For a given fixed total dollar amount of wagers, raising one's bets increases the volatility in terms of outcome for that amount of money wagered (100 $1 bets versus 10 $10 bets, for example). 
    
    So the best way to consider volatility is the range of possible outcomes in terms of number of bets. BJ is low volatility because that range is from -1 to +1.5. VP is high volatility because that range is from -1 to +800. Bet size in and of itself, all other things being equal, does not affect volatility.
    
    But that quibble aside, excellent explanation!

  • Jackie Jun-08-2020
    RF Frequency
    Could be anywhere from one (first) hand to millions of hands. 30K to 50K hands is a guesswork average, only the casinos know the average hands to hit a royal as the GC requires them to know in order to determine if a machine is malfunctioning or not.  For example if a machine went 160K hands without a royal and then some one sits down to that machine and hits four royals in a row the average hands would be 40K, the guy would be suspected of cheating payoffs withheld and the GC called in to investigate but the end result would be the person would be paid all four royals and no foul play detected.  That is a result of the chaos factor I mentioned to Dancer, and the poor people who played those 160K hands without a royal would have lost their bankroll.

  • Anthony Curtis Jun-08-2020
    Not guesswork
    The frequency is based on the probability of each result occurring given the strategy employed. This is not open for debate. Variance allows for the possibility of it happening from the first hand to infinity. 

  • Jackie Jun-08-2020
    Very good Anthoney
    You just proved my point.