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Question of the Day - 24 August 2019

Q:

It seems like James Holzhauer lost "Jeopardy" on purpose. Any insight on that? With his aggressive betting technique, why would he bet less than $2K for the final question? It just doesn't not make sense.

A:

We received a number of similar questions, but held off with this answer to them. We knew Anthony Curtis would dissect Jeopardy James' last move in detail from a tournament-player's perspective in the July Las Vegas Advisor (Holzhauer lost on June 3), and we almost always let plenty of time pass before reprinting from an issue, so subscribers get the full benefit of the information. (For non-subscribers, as a reminder, the cost of an online subscription is all of $37, $3.08 per month, and comes with our Member Rewards Book with 130-plus coupons that, if you use only a few of the most valuable ones, pays for the entire subscription cost.)

Anyway, here's A.C.'s full analysis of James Holzhauer's final Final Jeopardy bet from the July LVA

When James Holzhauer finally lost to Emma Boettcher on “Jeopardy!”, conspiracy theorists quickly pointed to his “abnormal” bet on the Final Jeopardy question. Holzhauer had tended to bet big on the last question of each game, so his bet of only $1,399 raised red flags and led to speculation that he’d thrown the game, perhaps to keep from breaking the all-time win record from which he was less than $100,000 away. However, “Jeopardy!” betting involves strategies similar to a gambling tournament, especially Final Jeopardy, so tournament experts knew that the dissenters had it wrong.

While James’ bet looked odd, it was a good play given the circumstances. Here are the particulars. “Bankroll” is the scores going into Final Jeopardy (the third player was Jay Sexton).

                    Bankroll       Bet               Final Total

Emma           $26,600        $20,201        $46,801

James           $23,400        $1,399          $24,799

Jay               $11,000        $6,000          $17,000

James made the assumption that Emma would “cover him high,” meaning she’d bet enough to cover him doubling up and that’s what she did. Had James bet his entire $23,400, he could have gone to $46,800. Emma’s bet would take her to $46,801. Hence, James opted to make a bet that “locked out” Jay — if James lost $1,399 and Jay doubled up to $22,000, James would beat Jay by $1 (but Emma would also have to lose for him to win). It was a good bet, but was it the best? Not necessarily.

There’s a good case to be made against $1,399, as that bet makes it possible for James to be locked out by Emma. Had she chosen to bet small ($1,800 or less), she’d have been in a can’t-lose position. “But she wouldn’t bet small,” you say. We disagree. There are two reasons she might. The first is it’s her first time on the show and she’s in a high-pressure spot. Maybe she doesn’t come up with the lock-out play or thinks it’s correct to bet the difference between herself and James. Second, in a he-knows-that-I-know-that-he-knows scenario, she could purposely bet small, figuring that James will make the bet that gives her the lock. James can avoid this by betting something like $10,000. This introduces the slight chance of a win/lose with Jay, but James wins for sure if he answers correctly and Emma doesn’t and it gives him a chance even if all three miss.

It’s complicated stuff, the sort of thing high-level tournament players calculate on final hands. Given James’ high confidence in his prediction of Emma’s bet, there can be little argument with his strategy. What really cost him was failing to have the lead going into the final hand. Take a lesson: When playing in a tournament, being in the lead on the final hand is hugely important. And taking into account the high probability of these players answering the Final Jeopardy question correctly, in this contest it becomes paramount. Had James been in position, he’d still be playing.

As for the final tally, James Holzhauer won 32 games and $2,464,216. Both fell short of Ken Jennings’ totals, but he set just about every other record in the book: the three highest winning amounts, the 16 most prolific performances in the show's 35 seasons and 23 of the top 27 overall with an average of $77,000 in winnings, and answering correctly 97% of the time. He’s now nationally known and a superstar in Vegas, where his every engagement, including playing in two WSOP events (with a staked entry) is news. And as for “back-end” — the term for the benefits that accrue to winners of prestigious contests — he’s a professional sports bettor at a time when sports betting is front and center. We haven’t heard the last of him.

 

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Comments

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  • Brian Soper Aug-24-2019
    So many variables
    An outstanding analysis by one of the best in casino tournament play.  I believe James made the best play.  He knew his reputation was of being a highly aggressive bettor in Final Jeopardy and was banking on Emma's realization of this fact.  If she bets big, which she did, he cannot overtake her.  By betting the 1399 he took the third-place player completely out of the game and put the entire outcome on Emma getting the answer correct.  The scenario is not unlike the old Ultimate Blackjack Tour's secret bet.  Sometimes the best move is doing something unpredictable.  Had Emma missed the question, James would have looked like a genius.

  • Ray Aug-24-2019
    Agree with Brian
    The only thing I can add to Brian's comment is that if Emma missed, James would have won even if HE missed, too. And if, as Anthony said, Emma had only bet 1800, the conspiracy theorist would have been out in force saying that it was fixed for James to win. When you are ahead going to final Jeopardy, it is almost incumbent on you to bet enough to close out your closest opponent.

  • Kevin Lewis Aug-24-2019
    It's pretty simple
    The optimal strategy for the leader is to bet exactly enough so that if he/she gets it correct, his/her total is $1 more than double that of the second place player. That's what his opponent did.
    
    Given that he had to simply hope that Emma blew it, his best EV was to ensure that he finished at least in second no matter what, since he couldn't control the outcome the way he normally could as leader.
    
    I actually admire his consideration of EV as he realized he was probably going to lose. I would imagine most players would shrug and bet it all. But that might cost him $1000--the difference between second and third. It would also cost him the game if the Final Jeopardy question was a monster, and everybody got it wrong, as has happened before.
    
    I guess what I like the most is that he maximized his EV even when the dollar amount was relatively trivial compared to what he'd already won. But that's how winners stay winners. 
    

  • Eric Forman Aug-24-2019
    Always assume you're going to get it right
    Emma made the right move because she had to presume that James was going to get the answer right and bet enough to pass her. She also has to bet on herself, presuming she's going to get it right as well, because they don't want to dwell on what happens if they get the answer wrong. They need the confidence to believe they're going to get it right.

  • Aug-24-2019
    1 False Statement
    The statement "Had she chosen to bet small ($1,800 or less), she’d have been in a can’t-lose position" is false. Now, I can surmise what you meant to say, and what you meant to say is correct, but what you ACTUALLY said is false.  You are only in a can't-lose position if you have double (or more) of what the player sitting 2nd has, and you bet enough to ensure that you finish with at least $1 more than the #2 player. Emma did not have at least double of what James had, so she was not in a can't-lose situation. She was simply in a BETTER position. You can only say that she was in a can't lose position if: (1) she would win regardless of whether she got the Final Jeopardy question right or wrong, and (2) she would win regardless of what James bet. This was not the case, because if she bet $1800 or less, while James bet large and got the question right, then he would've won, no matter whether she got the question right or wrong. You need to be careful about how you word things.

  • Kevin Lewis Aug-24-2019
    Uh, Al....
    You need to read carefully before you criticize. The statement Anthony made was "HAD SHE CHOSEN...," which referred to the contingency of Holzhauer betting small (which actually came to pass. The most precise wording would have been, "Given that James bet only $1,399, it became possible for Emma to lock him out with a bet of $1,800 or less." The sentence referred to a possibility that came up because of Holzhauer's betting choice, not one that existed before he bet. You see the difference? You need to be careful about how you word things.

  • Roy Furukawa Aug-24-2019
    Good analysis
    I agree with @Brian also, I wanted to hear what A.C. had to say on this one.