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## Monty Hall Paradox

 Author Message Sean Smith-776614 SSC-Addicted Group: General Forum Members Points: 431 Visits: 943 Comments posted to this topic are about the item Monty Hall Paradox TPalmeri Forum Newbie Group: General Forum Members Points: 1 Visits: 17 (removed) Jason Whitney SSC Rookie Group: General Forum Members Points: 38 Visits: 553 That is an interesting puzzle. Here is another solution using a CTE instead of a loop.`-- Setupset nocount on-- Create a table to store the results.create table Doors( ID int , ChosenDoor int , WinningDoor int , WinLose as case when ChosenDoor = WinningDoor then 0 else 1 end -- Win = 1, Lose = 0);-- Use a CTE to generate 10,000 "contestants" and their chosen/winning doors.-- If the chosen door equals the winning door the contestant will switch when given the-- option and lose. Otherwise they will switch to the winning door and win.with Digits(i)as (select i from (select 1 union select 2 union select 3 union select 4 union select 5 union select 6 union select 7 union select 8 union select 9 union select 0) AS X(i))insert into Doors(ID, ChosenDoor, WinningDoor)select (D3.i * 1000 + D2.i * 100 + D1.i * 10 + D0.i) AS seq , abs(cast(cast(newid() as varbinary) as int)) % 3 + 1 ChosenDoor , abs(cast(cast(newid() as varbinary) as int)) % 3 + 1 WinningDoor from Digits as D0, Digits as D1, Digits as D2, Digits as D3-- Select the total number of winners (1) and losers (0).select WinLose , count(*) Totalfrom Doorsgroup by WinLose-- Clean-updrop table Doorsset nocount off` Sean Smith-776614 SSC-Addicted Group: General Forum Members Points: 431 Visits: 943 Very cool alternative. Thanks for sharing! brosspaxedi SSC Journeyman Group: General Forum Members Points: 75 Visits: 261 I think this is bogus. The reason that I think it is bogus is that on the second bet you are excluding the door you picked from your first bet ONLY if it is not the right door. So you are adding new information. *******************What I lack in youth, I make up for in immaturity! Sean Smith-776614 SSC-Addicted Group: General Forum Members Points: 431 Visits: 943 brosspaxedi (11/10/2014)I think this is bogus. The reason that I think it is bogus is that on the second bet you are excluding the door you picked from your second bet ONLY if it is not the right door. So you are adding new information.Thanks for sharing you're wonderful insight. Sean Smith-776614 SSC-Addicted Group: General Forum Members Points: 431 Visits: 943 I am surprised anyone even found this old post. LOL. Iwas Bornready SSCrazy Eights Group: General Forum Members Points: 8712 Visits: 885 Interesting script.

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