features

General

Projecting #ToC2017 – A Model

Projecting #ToC2017

Published Modified

Join TJF Plus

Get free access to all of our articles. Register a free account for TJF Plus.

Current Champion

Matthew Riggle, career statistics:
47 correct, 6 incorrect
1/1 on rebound attempts (on 4 rebound opportunities)
41.23% in first on buzzer (47/114)
3/3 on Daily Doubles (Net Earned: $7,600)
1/2 in Final Jeopardy
Average Coryat: $21,300

To win:
3 games: 68.027%
4: 46.277%
5: 31.481%
6: 21.415%
7: 14.568%
Avg. streak: 4.128 games.
(Next game: September 14)
(Click Here for Methodology)

Upcoming Encore Presentations

August 12: S42 E98 (January 21, 2026)
August 13: S42 E99 (January 22, 2026)
August 14: S42 E100 (January 23, 2026)
August 15-16: S41 E141 (March 24, 2025)
August 17: S42 E101 (January 26, 2026)
August 18: S42 E105 (January 30, 2026)
August 19: S42 E102 (January 27, 2026)
August 20: S42 E103 (January 28, 2026)
August 21: S42 E104 (January 29, 2026)
August 22-23: S41 E142 (March 25, 2025)
August 24: S42 E106 (February 2, 2026)
August 25: S42 E107 (February 3, 2026)
August 26: S42 E108 (February 4, 2026)
August 27: S42 E109 (February 5, 2026)
August 28: S42 E110 (February 6, 2026)
August 29-30: S41 E143 (March 26, 2025)
(Source: Bell Fibe TV program guide)

All Time Winnings

All Time Jeopardy! Winnings, Regular Play Only:

1. Ken Jennings $2,520,700
2. James Holzhauer $2,462,216
3. Matt Amodio $1,518,601
4. Amy Schneider $1,382,800
5. Jamie Ding $882,605
6. Cris Pannullo $748,286
7. Mattea Roach $560,983
8. Jason Zuffranieri $532,496
9. Scott Riccardi $455,000
10. David Madden $430,400
11. Julia Collins $428,100
12. Matt Jackson $411,612
13. Austin Rogers $411,000
14. Ray Lalonde $386,400
15. Harrison Whitaker $373,999
16. Adriana Harmeyer $349,600
17. Caleb Groen $346,968
18. Adam Remsen $306,415
19. Ryan Long $299,400
20. Arthur Chu $297,200

All Time Jeopardy! Winnings, Including Tournaments (and Consolation Prizes):

1. Brad Rutter $4,968,436
2. Ken Jennings $4,372,700
3. James Holzhauer $3,614,216
4. Matt Amodio $1,964,601
5. Amy Schneider $1,864,800
6. Yogesh Raut $1,098,403
7. Mattea Roach $897,983
8. Jamie Ding $885,605
9. David Madden $785,733
10. Victoria Groce $773,801
11. Cris Pannullo $754,286
12. Roger Craig $706,200
13. Larissa Kelly $671,930
14. Matt Jackson $623,612
15. Jason Zuffranieri $549,496
16. Andrew He $534,365
17. Scott Riccardi $533,000
18. Jerome Vered $499,102
19. Julia Collins $495,767
20. Austin Rogers $493,000
21. Ben Ingram $449,201
22. Paolo Pasco $448,717
23. Adriana Harmeyer $446,600
24. Buzzy Cohen $441,603
25. Juveria Zaheer $441,000

DISCLAIMER

The Jeopardy! Fan is created by fans, for fans. The Jeopardy! game show and all elements thereof, including but not limited to copyright and trademark thereto, are the property of Jeopardy Productions, Inc. and are protected under law. This website is not affiliated with, sponsored by, or operated by Jeopardy Productions, Inc.

So, it’s always interesting and fun to look forward to the next Tournament of Champions. Keith Williams over at The Final Wager put a model together for the 2015 tournament, and I have adapted my Coryat game-prediction model to determine each current 4-timer’s chances of making the next Tournament.

For my main projections, I am operating under the assumption that #ToC2017 will be airing in November 2017, with a cut-off of the end of Season 33. It is a possibility that the cutoff may also be variable, depending on when the field fills with 5-time champions, but for the purposes of this projection, I am going to work with a fixed cut-off date. As of March 6, 2017, that leaves 94 games until the cut-off. This model will also assume that there will be a Teacher’s Tournament in May of 2017, with an automatic qualification spot available.

Thus, for the 15-player field, there are currently 3 automatic qualifiers (and a fourth to come) and 7 superchampions (not counting Cindy Stowell). There are also currently six 4-time champions, the top 4 currently are Tim Kutz, Todd Giese, Rob Liguori, and Fred Vaughn. Thus, I am interested in the chances of these four players keeping their spots in the next tournament.

My Approach & Algorithm

If you’ve spent much time around The Jeopardy! Fan, you’ll know that I already have a Coryat Score-based game prediction model, which predicts the length of a champion’s run, given their previous Coryat scores. I have adapted the same model as the basis of my Tournament of Champions model.

Figure 1: Winning percentages for each Coryat score in regular play games from October 4, 2004 – March 30, 2016

The model’s algorithm works as follows:

  1. Determine the average Coryat score of the current champion. For the first champ in the model, this is known. For future unknown champions, this is randomly generated from a normal distribution (with the mean and standard deviations set from game data from November 23, 2015 to the present — the start of the current qualifying period. The current mean Coryat is $14,512, standard deviation $4,351).
  2. Given the Coryat score, you can then determine a player’s chances of winning their next game (from the trend line formula used by the single-game predictive model), and from there, the length of their run (in this case, I am using the ceiling function on r / (1 – r) — the formula used to determine the sum of this sort of infinite geometric series)

  3. If the run lasts 4 games or longer, or 5 games or longer, add them to a counter (We’ll need this info later!) and continue until we have reached the requisite number of games that we wish to look at.
  4. At the end of a set of games, look at the number of 4- and 5- timers. If there are 5 or more 5-timers, then there will either be an early cutoff, or a 5-timer will be left out (neither of these situations are good for any of our 4-timers). If there are exactly 4 5-timers, then again, this isn’t good for our 4-timers, but there won’t be an early cut-off either. It’s when there are 3 or fewer 5-timers that things get a bit more interesting.
  5. If there are 3 or fewer 5-timers, then we need to see where the randomly generated 4-timers fit in on the current standings. Of course, Tim has $107,000, Todd $82,403, Rob $72,601, and Fred $65,700. I have taken 4-day running totals of the champions’ winnings, again from November 23, 2015 to the present, and taking the mean and standard deviation of that (mean: currently $76,309; standard deviation: $17,877) to randomly generate normally distributed winnings of 4-time champions. They then get compared with the current standings to determine who the last qualifier will be for that simulation (i.e. if there are 3 5-timers, and the highest 4-timer gets a score of $95,000, then Tim will be the last player in. If there happens to be only 2 5-timers and the highest 4-time score is $75,000, then Todd would be the last player in.)
  6. Once one set of games is finished, then re-run the simulation a large number of times, tracking the outcome each time. For my main simulation, I’ll be running the simulation for 100,000 sets of games.
  7. Once the full set of games is finished, then output the mean and standard deviation of 5-timers, 4-timers, as well as the number of times the simulation predicts either an overfull field, or the number of times Tim, Todd, Rob, and Fred qualify.

This is being implemented using a Python script, and will generally be updated on a weekly basis, in both the ToC Tracker page, as well as the Week In Review.

March 9, 2017 update: Version 2 of this model makes the following changes to the algorithm, all to project the chances of the current champion in the early stages of their respective runs:

  • For the current champion, randomly generate a run length. For this, I have centered the normal distribution halfway between the player’s average Coryat and the overall mean, with a standard deviation of half of the overall standard deviation. Once that average Coryat is then determined, I then determine the win chances as above and use the floor function on the infinite geometric series formula given above to generate the length of the run for each simulation.
  • If the run length is 5 games, add them to the counter and list them separately as having qualified (We’ll need this later.) If the run length is 4 games, generate their 4-game total (the normal distribution here is centered on their current total + an extra $19,077 for any further wins to reach 4, and a smaller standard deviation the closer one gets to 4 wins.) Once the 4-game total is generated, we slot them into our list of 4-timers, sliding the other 4-timers on our list down as required.
  • We then run the rest of the simulation as before, making the comparisons, and outputting the % times that Tim, Todd, Rob, Fred, and the current champion each qualify for the ToC from our model.

Day By Day Predictions:

(Best viewed on Desktop or Tablet)
(Note: The annotations are of various champions whose runs had a significant effect on qualifying chances.)

var divElement = document.getElementById('viz1492006630420'); var vizElement = divElement.getElementsByTagName('object')[0]; vizElement.style.width='100%';vizElement.style.height=(divElement.offsetWidth*0.75)+'px'; var scriptElement = document.createElement('script'); scriptElement.src = 'https://public.tableau.com/javascripts/api/viz_v1.js'; vizElement.parentNode.insertBefore(scriptElement, vizElement);


The new TJ!F Plus section is active! In order to get the Daily Details of each episode coming soon, as well as the ability to comment on posts site-wide, make sure to register for your account! It should be noted that if you have not registered for an account since December 13, 2025, that registration for a new account is necessary.

Did you accidentally get logged out of your TJ!F Plus account? Log in here!

Become a Supporter now! Make a monthly contribution to the site on Patreon!

Contestant photo credit: jeopardy.com

When commenting, please note that all comments on The Jeopardy! Fan must be in compliance with the Site Comment Policy.

If you are going to quote any information from this page or this website, attribution is required.

Have you had a chance to listen to our podcast game show, Complete The List, yet? Check it out! It's also available on Apple Podcasts.

Remember, you can also now get the following products (and others!) from our new store! Check out our top sellers! All prices are now in US dollars!

In order to redesign our merchandise area to serve you better in 2026, all merchandise sales have been temporarily taken offline. Look for a return in late 2026! All previous orders will still be supported.

  • This is some beautiful number-crunching! Always fun to pore over another stat geek’s work.

  • Powered by Labrador CMS