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If the car is behind door 1, the host can open either door 2 or door 3, so the probability that the car is behind door 1 and the host opens door 3 is 1 / 3 × 1 / 2 = 1 / 6 . If the car is behind door 2 – with the player having picked door 1 – the host must open door 3, such the probability that the car is behind door ...
Hence C's chances are ( 1 / 3 )/( 1 / 2 ) = 2 / 3 and A's are ( 1 / 6 )/( 1 / 2 ) = 1 / 3 . The key to this problem is that the warden may not reveal the name of a prisoner who will be pardoned. If we eliminate this requirement, it can demonstrate the original problem in another way.
See Lucas, Rosenhouse, and Schepler Lucas, Rosenhouse, and Schepler (it's the same Rosenhouse as the recent book). Published in Math. Magazine, 82(5) 332-342 (Dec 2009) - another
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The door closes, and then opens again to let the front of the ladder pass through. At a later time, the back of the ladder passes through the entrance door, which closes and then opens. We see that, as simultaneity is relative, the two doors did not need to be shut at the same time, and the ladder did not need to fit inside the garage.
“3 Body Problem” was created by David Benioff, D. B. Weiss and Alexander Woo. It is Benioff and Weiss’ first show since “Game of Thrones” ended. The alien epic is adapted from Liu Cixin ...
The cat looked mighty guilty in the video its mom shared. The tabby wouldn't even look at the camera. We guess the animal couldn't bear to hear that his owner found out the truth. Related: Tabby ...
When some of the world’s most promising scientists start dying in gruesome fashion, that’s not just a problem: That’s a 3 Body Problem. Season 1 of Netflix’s series adaptation of Liu Cixin ...