Víctor Ortiga must be new here...
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Lab Rat on the Run
As I see it 7 minutes and 20 sec. These are the posible combinations with the time required and each posibility (suposing the rat will never choose the same path twice): 3' C 25.000% 5' A 25.000% 5' DC 8.333% (25%33,33%) 7' DA 8.333% 11' BC 8.333% 13' BA 8.333% 13' BDC 4.167% (25%33,33%*50%) 13' DBC 4.167% 15' BDA 4.167% 15' DBA 4.167% so 30.25+50.25+...+15*0.04167=7.33 I don't know why but it does not match with the solution given, so I would love anyone claryfing it to me. context |
Lab Rat on the Run
I messed it up with the spaces. 3' C 25.000% 5' A 25.000% 5' DC 8.333% (25%33,33%) 7' DA 8.333% 11' BC 8.333% 13' BA 8.333% 13' BDC 4.167% (25%33,33%*50%) 13' DBC 4.167% 15' BDA 4.167% 15' DBA 4.167% context |
Lab Rat on the Run
3' C 25.000% 5' A 25.000% 5' DC 8.333% (25%33,33%) 7' DA 8.333% 11' BC 8.333% 13' BA 8.333% 13' BDC 4.167% (25%33,33%*50%) 13' DBC 4.167% 15' BDA 4.167% 15' DBA 4.167% We should have a edit/delete option; or at least a preview xD context |
Black and White Hats
my bad: *their context |
Running Race
No, it's not a tie. They are tied at 90 yards but then, as Sal is faster than phil, he takes advance of Phil ending the race at 1 yard distance, Sal winning. context |
Don't be a Square
Although there is not a picture, here's the solution. Shown is made of four triangles with the hypotenuse being outside, the you put four hypotenuse looking inside and you got a sqare shaped space where you would put E. context |
Black and White Hats
Nope. If we have 30 white hats and 70 black hats; the last prisoner sees either 70 or 69 black hats in front of him; then, if he supposes the chances of getting each color was 50/50 he will say "white", on the other hand, if he supposes the chances of getting black were greater than the ones of getting white he would say "black" (you don't specify if they know the chances of each color nor which are those chances), and the same goes for every prisoner so, essentially, they survival chances depend on how many hats of each color there are and what do the prisoners suppose about the hats' color chances. The fact is that you said that we don't know how many hats of each color we have but you give a solution for 50 white and 50 black (it's the only way talking about an odd or even number makes any sense) in which case the rate of survival is 100%, not even the first one is up to chance (by first you mean the first on line or the first saying the color?) as they all see or know the color of 99 hats. context |