How Much Money Can You Make On Jeopardy

How Much Money Can You Win in a Single Installment of Peril!?

...and why information technology's unlikely anyone volition actually win it.

Jeopardy

Risk!master of ceremonies Alex Trebek appeared alongThe Nerdist Podcast recently. It's a really interesting interview, and if you consume an hour and a half to kill, information technology's a great way to do that. At one point host Chris Hardwick wondered what the theoretical maximum a player could win in one episode was, and so we did the math.

According to both Wikipedia and Trebek on theNerdistepisode dubitable, the current record for most money attained in a single game ofJeopardy!is $77,000. That's impressive, but if a contestant is a combination of incredibly lucky, quick-witted, and quick with the buzzer they could potentially make a good deal more.

First, a straightaway ground if you're unfamiliar withJeopardy!or if you haven't watched in a patc. I'll block quote it so it's easy to skip ahead if you're already companion.

There are three rounds; Hazard, Two-fold Jeopardy, and Final Jeopardy. Each of the first two rounds has six categories of five clues each, and Concluding Risk is a single clue. Each category in the Jeopardy round has questions with ascending dollar values of $200, $400, $600, $800, and $1000. Those threefold in Stunt woman Jeopardy (hence the public figure) to $400, $800, $1200, $1600, and $2000.

In the Jeopardy bulblike one clue is secretly a "Daily Double" that allows the player who selects it to wager any quantity of their current add together along acquiring the answer right but does non award the value of the clue on the board. A "True Daily Double" is when a player wagers their entire sum along the question. If they twig right, their gross is doubled. There are two "Time unit Double" clues in the Double Endangerment round. Players do non know which clues are designated as the Unit of time Doubles until the clue is selected in play.

In the Final Jeopardy round players wager whatsoever sum of their total winnings after quick-eared only the category of the clue, and are once more able to double their profits if they puzzle the right do.

Acquiring the academic maximum is more involved than merely adding up the dollar values for all the questions because of the wagering allowed aside the Daily Doubles and the Final Jeopardy round. A player apotropaic enough to impinge on all trinity Regular Doubles could in principle double their total 4 times in the game with Net Jeopardy organism the fourth chance.

Another factor is that all 30 questions in to each one of the for the first time two rounds would have to Be answered, which doesn't ever happen because of the game's clock. Rounds oft end with clues still up on the control board, but that's not always the case. We'll assume our theoretical big-winner gets through with all 60 questions and gets every result correct.

As for the dollar value itself, in the Endangerment round the value of all 30 clues equals $18,000, but remember we require to eliminate the value from combined question for the Every day Double. We're eliminating a $200 clew because it takes away the to the lowest degree prize from the manageable money earned. If our lucky first-rate contestant gets all 29 of the other not-Day-to-day Double questions correct they will give $17,800 which they can double along the last (Daily Double) cue of the round for $35,600.

The Double Jeopardy round clues total $36,000 (double that of Risk) only we need to eliminate two of the $400 for the Day-after-day Doubles. That means our super contestant would have $70,800 later answering the 28 non-Daily Double questions of the round. ($35,200 from the Double Hazard labialize plus the $35,600 that carried o'er from the Hazard round.)

If they went for two True Daily Doubles in a row with that $70,800, they could quadruple it to $283,200 going into the Final Peril attack where they again have a hazard to double their winnings.

So, in termsEndangerment!fans will interpret:

This is the total amount of money it is mathematically possible to win in a single spunky ofJeopardy!

What is $566,400 Alex?

If information technology's achievable to clear half a million dollars in unrivaled shot, why is the memorialise solitary $77,000?

It's because of the game's Daily Doubles. To hit the absolute maximum, the player doesn't meet need to hit all three Daily Doubles, they need to hit them end and on the lowest-measure clues along the plug-in. That's $200 in the Jeopardy round and $400 in Double Jeopardy. With 30 clues per round, and six categories on the board, betting odds of all three Daily Doubles existence in the lowest value musca volitans and beingness selected shoemaker's last aren't nifty.

In the Risk round there's a 1 in 5 (6 forbidden of 30 really) chance that the Daily Multiple is unmatched of the lowest-value questions, and a 1 in 30 chance of any single clue being the last on the gameboard, and so the odds of the fourth-year clew on the board being both the lowest value AND the Each day Twice in the Jeopardy encircle is 1 in 150.

The betting odds for Double Jeopardy are worsened, because you need the 2 Unit of time Doubles to BOTH be the lowest value AND the last two picked. You have honorable a 1 in 12,615 bump of that existence the incase in the second round. Combine that with the requirement that the Risk round also conclusion on the Unit of time Double and the odds are 1 in 1,892,250. That way that information technology's only possible to win the out-and-out maximum amount of money 1 out of every 1,892,250 games ofJeopardy!played.

According to the Trebek interview,Jeopardy!runs five bran-new shows per week 46 weeks out of the year for a total of 230 shows apiece year. That way at the current shooting schedule of the show this chance comes up once all 8,227 years.

(via Nerdist Podcastwith extraordinary thanks to Brian Tickle for existence my math consultant, visualise via Jeopardy!)