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July 20, 2015

Monday, July 20, 2015

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Our dancer-in-chief, Jennifer Morrow, is going for her third win tonight. What will the new week bring?The Final Wager – July 20, 2015

A situation verrrrrrrrrrry similar to what we saw on Friday.

Jennifer

Morrow

Scott

Lord

Mary

Ciconte

14,500 17,600 8,000

Our players will be dealing with:

POETRY

For those of you interested in Jennifer’s charity, Operation Backpack, here’s the link.

First-order calculations

Second doubles up

If Jennifer doubles her score, she’ll have 29,000.

To cover this all-in wager, Scott will need to wager 11,400.

Jennifer
Scott
Mary
14,500 17,600 8,000
14,500 11,400
29,000 29,000
min max min max min max
11,400

An incorrect response with that wager will leave Scott with 6,200.

To stay above his total, Jennifer can wager up to 8,300.

Mary can wager up to 1,800.

Jennifer
Scott
Mary
14,500 17,600 8,000
8,300 11,400 1,800
6,200 6,200 6,200
min max min max min max
8,300 11,400 1,800

Third doubles up

A successful doubling will put Mary at 16,000.

To cover this, Jennifer should wager at least 1,500.

Scott could wager at most 1,600.

Jennifer
Scott
Mary
14,500 17,600 8,000
1,500 1,600 8,000
16,000 16,000 16,000
min max min max min max
1,500 8,300 11,400 1,800
1,600

Mary would need to wager at least 5,000. Might as well go all-in then.

Jennifer
Scott
Mary
14,500 17,600 8,000
1,500 5,000
13,000 13,000
min max min max min max
1,500 8,300 11,400 5,000*
1,800
1,600

Here’s where things stand after the first order:

Jennifer
Scott
Mary
14,500 17,600 8,000
FIRST-ORDER SECOND-ORDER COVER ZERO
min max min max min max
1,500 8,300 11,400 5,000*
1,800
1,600

Second-order calculations

Second’s max vs. first

If Jennifer makes the rational maximum wager of 8,300, Scott will need to wager 5,200 to cover her.

Jennifer
Scott
Mary
14,500 17,600 8,000
8,300 5,200
22,800 22,800
min max min max min max
1,500 8,300 11,400 5,000*
5,200 1,800
1,600

If he’s wrong with that wager, he’ll be left with 12,400.

To stay above him, Jennifer can wager up to 2,100.

Mary might consider risking at least 4,400. Again, all in.

Jennifer
Scott
Mary
14,500 17,600 8,000
2,100 5,200 4,400
12,400 12,400 12,400
min max min max min max
1,500 2,100 11,400 5,000*
8,300 5,200 1,800
1,600

Third’s max vs. first

For Mary’s 1,800 wager, Jennifer could go up to 4,700, and Scott up to 7,800.

Jennifer
Scott
Mary
14,500 17,600 8,000
4,700 7,800 1,800
9,800 9,800 9,800
min max min max min max
1,500 2,100 11,400 5,000*
4,700 5,200 7,800 1,800
8,300 1,600

But Scott would need to wager 1,600 to cover that 4,700 wager out of Jennifer… and so the plot thickens.

Jennifer
Scott
Mary
14,500 17,600 8,000
FIRST-ORDER SECOND-ORDER COVER ZERO
min max min max min max
1,500 2,100 11,400 5,000*
4,700 4,700 5,200 7,800 1,800
8,300 1,600 1,600

Zero wagers

Score differences:
Scott and Jennifer: 3,100
Scott and Mary: 9,600
Jennifer and Mary: 6,500

Jennifer
Scott
Mary
14,500 17,600 8,000
FIRST-ORDER SECOND-ORDER COVER ZERO
min max min max min max
1,500 2,100 11,400 6,500*
4,700 4,700 5,200 6,200 1,800
6,200 6,500 1,600 1,600

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

What actually happened

Jennifer Scott Mary
14,500 17,600 8,000
2,000 11,401 8,000
12,500 29,001 0
min max min max min max
6,201 6,499 11,401 8,000
4,700 ! 5,201 6,199 1,799
1,501 2,099 1,600 !

Scott pulls out the lone correct response… and our streak without a three-game winner will enter its 17th game tomorrow.

The Final Jeopardy! clue

POETRY
WAGNER’S LINE “OED’ UND LEER DAS MEER”, MEANING “WASTE AND EMPTY THE SEA”, IS QUOTED IN A POEM BY THIS AMERICAN-BORN MAN
Correct response: Show
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