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Pastimes : Let's Talk About Our Feelings!!! -- Ignore unavailable to you. Want to Upgrade?

To: Chuzzlewit who wrote (33737)	4/5/1999 11:47:00 AM
From: Edwarda	Read Replies (1) \| Respond to of 108807

Now I'll admit that I refrained on this one because I read Bob Metcalfe's solution painstakingly delivered to disbelieving readers. As soon as I read it, I wondered how I could have missed it. It would have been unfair to leap in. <VBG>

To: Chuzzlewit who wrote (33737)	4/5/1999 12:28:00 PM
From: BGR	Respond to of 108807

CTC, Agreed. Your solution is correct. -BGR.

To: Chuzzlewit who wrote (33737)	4/5/1999 12:29:00 PM
From: Jacques Chitte	Respond to of 108807

The initial assessment of a 1/3 chance presupposes one impossible thing. That is that Monty will reveal the same door every time. There is a 1/3 chance that the player will choose the preselected throwaway door. So Monty needs to know which other door conceals a goat. He cannot open the door with the RR, much as he'd like to. So it could be argued that since it's known that Monty will toss a door that 1) was not the player's choice and 2) does not conceal the RR, the initial choice has 1/2 chance of being right - right off the bat. Nu? Did I goof the premises? Is it definite that Monty will throw away a door? If Monty does NOT throw away a door on occasion - then your model holds. The act of throwing away a door becomes informative. :-)

To: Chuzzlewit who wrote (33737)	4/5/1999 1:16:00 PM
From: On the QT	Read Replies (3) \| Respond to of 108807

Chuzz, OT-OT OK now I have one for you and others. It has been around for a long time so I don't claim any originality here. Nevertheless, it might provide some interest for some. As I remember story it goes back to the WW11 as I am told. Here goes. Three sailors on leave from a hard campaign at sea, dock in at port and search for a hotel so they get some peaceful sleep and are finding that rooms are scarce. After a fruitless search, they finally find a hotel with only one room available. The innkeeper informs them that the total cost of the room is $30.00. The sailors are happy to get a room and quickly agree to put up $10.00 apiece and secured their room. The bellhop was called. He immediately showed the sailors to the room and proceeded to make a couple of trips from the lobby to the room, moving almost all their gear into the room himself. The sailors were beat and all they could think about was to get some sleep and perhaps later enjoy the area later on. The sailors stumbling and in a "fog" negotiated the stairs. Ignoring the bellhop and with little fan fare went off to different parts of the room to get some sleep. Now about 6 hours or so later the innkeeper had some remorse for what he believed was an unfair price to charge the servicemen. Although he had wrestled with the idea that based on the scarcity of rooms the price was the going rate he finally reasoned that an allowance had to be made given that we were at war and these were allied servicemen who deserved a break. The innkeeper rang the bellhop who was about to leave to go home. He said: "I have had a change of heart and want you to return $5.00 to the servicemen." The bellhop tired and already disgruntled, considered the treatment he received by the servicemen and annoyed with the innkeeper for over working him without extra pay, mulled over the situation as he trudged up the stairs. He decided that the servicemen should have tipped him, the inn keeper should have paid him something extra for all the extra work he was doing of late, reasoned that the inn keeper, incredible busy and forgetful in general would never know what he planned to do. The Bellhop decided he deserved extra compensation. So on the way to the room decided to pocket $2.00 of $5.00 the innkeeper had given him to return to the servicemen. When the bell got to the room he rang the bell. The servicemen answered and were told that because of their fine service on behalf of the people in his country management decided to return $3.00 to them. The still sleepy servicemen were delighted and split the $3.00 among themselves. Now the room originally cost $30.00. The servicemen put up $10.00 a piece and received back $3.00. As story goes, the servicemen, in getting back $1.00 each, actually put in $9.00 apiece after the bellhop "rebate" of $3.00. Hence $ 9.00 x 3 = $27.00. Reviewing, they put up $27.00 and $2.00 surreptitiously pocketed by the bellhop = $29.00. The room original cost was $30.00. What happened to the missing dollar? I will take a page from Chuzz book and asked that you PM me with your solution and I will provide what I think to be the correct answer. If you prefer, you may answer with the indulgence of this thread, with an off topic OT designation for an open discussion with those that are interested. Sincere Regards, QT PS Under the heading of C. O. B. I will add: Hope this provides a fun and or challenging feeling for some at least :)