Wednesday, October 21, 2015

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If you thought last night’s situation was fun, well, fasten your seat belts.

We’ll have to start with the third and final Daily Double of the night, which Dennis uncovered on the last clue of Double Jeopardy!.

PENULTIMATE WAGER
Robert Arrowood	Dennis Golin	Kelly Winck
14,000	16,000	4,000
VETERINARY MEDICINE for $800

Dennis is in a tricky, tricky situation here. He wagered $2,000. What would you have done?

Find out what I would have done in tonight’s video… along with my analysis of the scenario in Final after Dennis responded correctly.

First-order calculations

This is a classic first = second + third situation.

Robert		Dennis		Kelly
14,000		18,000		4,000
FIRST-ORDER		SECOND-ORDER		COVER ZERO
min	max	min	max	min	max
	6,000	10,000		4,000

Second-order calculations

Robert, however, can lock Kelly out by wagering “Shoretegically“, and Dennis can respond in kind.

Robert		Dennis		Kelly
14,000		18,000		4,000
FIRST-ORDER		SECOND-ORDER		COVER ZERO
min	max	min	max	min	max
2,000	6,000	10,000		4,000
		2,000

Zero wagers

Score differences:
Dennis and Robert: 4,000
Dennis and Kelly: 14,000
Robert and Kelly: 10,000

Robert		Dennis		Kelly
14,000		18,000		4,000
FIRST-ORDER		SECOND-ORDER		COVER ZERO
min	max	min	max	min	max
4,000	6,000	10,000		4,000
		2,000	4,000

Then we add a dollar to the minimum wagers, and subtract a dollar from the maximum wagers.

What actually happened

Robert		Dennis		Kelly
14,000		18,000		4,000
5,999		13,999		4,000
8,001		31,999		8,000
min	max	min	max
4,001	5,999	10,001		4,000
		2,001	3,999

Well, that was fun, and the Mets are going to the World Series. See you tomorrow!

The Final Jeopardy! clue

THE PRIME MERIDIAN

BESIDES THE U.K., IT’S THE ONLY COUNTRY THAT THE PRIME MERIDIAN TOUCHES THAT STARTS WITH A VOWEL

[spoiler]What is Algeria?[/spoiler]

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