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Math Question..


Goodoleboy58
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Here's one for you:

Three men go to stay at a motel and the clerk charges them $30.00 for the room. They split the cost ten dollars each. Later the manager tells the clerk that he over-charged the men and that the actual cost should have been $25.00. He gives the clerk $5.00 and tells him to give it to the men. But the clerk decides to cheat them and pockets $2.00. He then gives each man a dollar. Now each man has paid $9.00 to stay in the room and 3 X $9.00 = $27.00. The clerk pocketed $2.00. $27.00 + $2.00 = $29.00. So where is the other $1.00?

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cbish68 (12/6/2007)
Here's one for you:

Three men go to stay at a motel and the clerk charges them $30.00 for the room. They split the cost ten dollars each. Later the manager tells the clerk that he over-charged the men and that the actual cost should have been $25.00. He gives the clerk $5.00 and tells him to give it to the men. But the clerk decides to cheat them and pockets $2.00. He then gives each man a dollar. Now each man has paid $9.00 to stay in the room and 3 X $9.00 = $27.00. The clerk pocketed $2.00. $27.00 + $2.00 = $29.00. So where is the other $1.00?

In a strippers g-string?

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Three men go to stay at a motel and the clerk charges them $30.00 for the room. They split the cost ten dollars each. Later the manager tells the clerk that he over-charged the men and that the actual cost should have been $25.00. He gives the clerk $5.00 and tells him to give it to the men. But the clerk decides to cheat them and pockets $2.00. He then gives each man a dollar. Now each man has paid $9.00 to stay in the room and 3 X $9.00 = $27.00. The clerk pocketed $2.00. $27.00 + $2.00 = $29.00. So where is the other $1.00?

Tendered: $30.00 (3 x $10)

less

Refunded: $ 5.00

Receipts : $25.00 ($8.3333etc x 3)

Given to men: $3.00 (3 x $1)

plus

Kept by Clerk: $2.00 ( $0.6666etc x 3)

Total of returns: $5.00

Receipts ..... : $25.00

plus

Refunded .... : $ 5.00 ($3.00 + $2.00)

Transaction : $30.00 (3 x $10.00)

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cbish68 (12/6/2007)
Here's one for you:

Three men go to stay at a motel and the clerk charges them $30.00 for the room. They split the cost ten dollars each. Later the manager tells the clerk that he over-charged the men and that the actual cost should have been $25.00. He gives the clerk $5.00 and tells him to give it to the men. But the clerk decides to cheat them and pockets $2.00. He then gives each man a dollar. Now each man has paid $9.00 to stay in the room and 3 X $9.00 = $27.00. The clerk pocketed $2.00. $27.00 + $2.00 = $29.00. So where is the other $1.00?

the $2.00 should not be added but subtracted. It's 27 - 2 = 25 Which went to the Hotel

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There are two envelopes in front of you each with a non-zero number. You will receive an amount of money equal to the final envelope you choose. You are informed one has twice as much money as the other. You are then allowed to select either envelope. After you select one and before opening it you are given the option to change your mind and switch to the other one? You think to yourself that if your envelope has x dollars there is a 50% chance the other one has x/2 dollars and a 50% chance it has 2x dollars. The expected return, you compute, is .5[.5x + 2x]=1.25x which seems like a favorable gamble. Do you switch and why? Assume you are neither risk averse nor risk prone, in other words you will take any good gamble and avoid any bad one.

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sw_ga_falcon (12/6/2007)
There are two envelopes in front of you each with a non-zero number. You will receive an amount of money equal to the final envelope you choose. You are informed one has twice as much money as the other. You are then allowed to select either envelope. After you select one and before opening it you are given the option to change your mind and switch to the other one? You think to yourself that if your envelope has x dollars there is a 50% chance the other one has x/2 dollars and a 50% chance it has 2x dollars. The expected return, you compute, is .5[.5x + 2x]=1.25x which seems like a favorable gamble. Do you switch and why? Assume you are neither risk averse nor risk prone, in other words you will take any good gamble and avoid any bad one.

I'd switched it since it's a win win situation.

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well the answer is basically Whether or not the first envelope is opened you can not blindly say the other envelope might have twice as much. To make an extreme example if the total amount of money in the world is t and the first envelope has more than t/2 then it is impossible for the other envelope to have twice as much. More practially if the person offering the money must have a finite amount to give. So we can't blindly say there is a 50% chance of doubling if the first envelope. For example if the person offering the envelopes has exactly $1,000,000 dollars the most he can offer is $500,000 and $1,000,000. So if the first envelope had $1,000,000 it would be impossible for the other envelope to have $2,000,000.

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