Matthew van Eerde's web log
I am a Software Development Engineer in Test working for the Windows Sound team. You can contact me via email: mateer at microsoft dot com
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Some sports and games have a notion of a "perfect score." For example, a perfect score in bowling is 300 (twelve consecutive strikes;) a perfect score in golf would be 18 (18 holes-in-one.)
After watching Watson destroy Ken Jennings and Brad Rutter I began to wonder what a perfect score in Jeopardy! would be.
Jeopardy! has three rounds:
Conclusion: A perfect score for a single episode of Jeopardy! is $566,400.
The actual record appears to be Roger Craig's win of $77,000 on September 14 2010.
You've got one false assumption:
Assumption (3): It doesn't matter whether Player X knows where the Daily Double(s) is/are, which in theory Player X wouldn't. Even though most players go sequentially on a given topic, each player can choose any question on the 6x5 board. It's only necessary that Player X finds the Daily Double(s) last while clearing each board.
Your assumptions can thus be condensed:
1) Player X always hits the button first and answers the question correctly.
2) Player X happens to choose the Daily Double(s) last on the board.
3) The Daily Double(s) is/are always on the lowest payout row.
4) Player X always bets max when (s)he can.
Yes, the differences are subtle, but they evidently make a difference since possible cheating is no longer paramount.
Best of luck,