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July 24, 2015

Friday, July 24, 2015

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Please, please, please – let’s end this week on a higher note than what we had yesterday.The Final Wager – July 24, 2015

Well, this was a good game – but I bet our champ wishes he had gone bigger on that Daily Double.

Scott

Lord

Tracy

McCarthy

Sam

Suarez

13,600 13,800 14,400

Tonight’s Final Jeopardy! category is:

NATIONAL AIRLINES

Because the scores are so close, there aren’t many mind games.

First-order calculations

Second doubles up

If Tracy doubles her score, she’ll have 27,600.

To cover this all-in wager, Sam will need to wager 13,200.

Scott
Tracy
Sam
13,600 13,800 14,400
13,800 13,200
27,600 27,600
min max min max min max
13,200

An incorrect response with that wager will leave Sam with 1,200.

To stay above his total, Tracy can wager up to 12,600.

Scott can wager up to 12,400.

Scott
Tracy
Sam
13,600 13,800 14,400
12,400 12,600 13,200
1,200 1,200 1,200
min max min max min max
12,400 12,600 13,200

Third doubles up

A successful doubling will put Scott at 27,200.

To cover this, Tracy should wager at least 13,400. In this case, though, she will lose on an incorrect response, so she might as well wager everything.

No point in Sam going for 12,800 with Tracy possibly going all in.

Scott
Tracy
Sam
13,600 13,800 14,400
13,600 13,400 12,800
27,200 27,200 27,200
min max min max min max
12,400 13,400* 13,200
12,600

 

And without the mind games, we head straight for the zero-cover wagers:

Score differences:
Sam and Tracy: 600
Sam and Scott: 800
Tracy and Scott: 200

Scott
Tracy
Sam
13,600 13,800 14,400
FIRST-ORDER SECOND-ORDER COVER ZERO
min max min max min max
1,600 12,400 13,400* 13,200
800 12,600

What actually happened

Scott Tracy Sam
13,600 13,800 14,400
1,000 13,800 14,000
14,600 0 400
min max min max min max
1,601 12,399 13,800 13,201 13,999
801 12,599

Sam’s wager is fine; if Tracy goes for the bare-minimum $13,401 wager, he’ll win by a dollar.

This clue was easy for New Yorkers, who saw ads for this offer constantly in the subway.

Scott swept the week (and every Final Jeopardy! clue) and has racked up $108,002. Congrats – and see you Monday!

The Final Jeopardy! clue

NATIONAL AIRLINES
THIS SMALL LAND’S AIRLINE ADVERTISES A “STOPOVER”: 7 NIGHTS AT NO EXTRA TRAVEL CHARGE TO BREAK UP A BOSTON-BRUSSELS TRIP
Correct response: Show
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