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Modified Deal or No Deal


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#1 BMAD

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Posted 17 June 2013 - 09:53 PM

The Basics of Modified Deal or No Deal:

 

There are ten boxes labeled 1 through 10.

The boxes have a check in them worth from .01 to 10,000,000 dollars as such $.01, $.10, $1.00, $10.00, $100.00, $1000.00, $10,000, $100,000, $1,000,000, and $10,000,000).  

The amounts are randomly placed in the marked boxes.

The player first selects their chosen box.

 

The game proceeds as folllows:

Round 1:

The player select 2 boxes to be revealed

--An offer is made to the player, if the player agrees, the game is over.

Round 2:

if not- the player selects 2 boxes to be revealed

--An offer is made to the player, if the player agrees, the game is over.

Round 3:

if not- the player selects 2 boxes to be revealed

--An offer is made to the player, if the player selects, the game is over.

Round 4:

if not- the player selects 2 boxes to be revealed

--An offer is made to the player, if the player selects, the game is over.

Round 5:

if not- the player's chosen box is revealed and they take the prize.

 

The individual making the offer to the player is known as the banker.  It is well-known, in this game, that the banker offers 85% below the median of the boxes for the first round and increases that percentage by 5% of the median of the remaining boxes each later round.  A player was made the following offers

 

Round 1: 4,675.00

Round 2: 4,950.00

Round 3: 5,225.00

Round 4: 5,500.00

 

What boxes were chosen each round?

Should the player take the offer?

 

 

 

 

 

 

 


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#2 bonanova

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Posted 18 June 2013 - 07:46 AM

Does he offer 85% of the median value? Below is ambiguous.
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#3 Nins_Leprechaun

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Posted 18 June 2013 - 08:33 AM

While there is some ambiguity or lack of clarity in the wording, from what I'm reading it is impossible to tell which box was picked each turn as we are dealing with a median not mean.

Spoiler for

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#4 BMAD

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Posted 18 June 2013 - 02:00 PM

Does he offer 85% of the median value? Below is ambiguous.

yes, of....sorry


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#5 Nins_Leprechaun

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Posted 19 June 2013 - 03:13 AM

While there is some ambiguity or lack of clarity in the wording, from what I'm reading it is impossible to tell which box was picked each turn as we are dealing with a median not mean.

Spoiler for


As a side not please ignore that bit about what ones were probably selected in the first round. It was late and I wasn't tired. Please excuse the brain fart.
Spoiler for

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#6 BMAD

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Posted 19 June 2013 - 09:42 PM

 

While there is some ambiguity or lack of clarity in the wording, from what I'm reading it is impossible to tell which box was picked each turn as we are dealing with a median not mean.

Spoiler for


As a side not please ignore that bit about what ones were probably selected in the first round. It was late and I wasn't tired. Please excuse the brain fart.
Spoiler for

 

and then what happened in the next round? and so on?  i don't need a specific box for an answer.


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