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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 ...
A door is an example of a complex feature that is seemingly trivial to implement correctly. In the original description of the analogy, Liz England justifies and explains the job requirements of a designer and how complex the job actually is compared to how the requirements are initially posed (making a door).
B is pardoned and the warden mentions C to be executed: 1 / 3 of the cases; C is pardoned and the warden mentions B to be executed: 1 / 3 of the cases; With the stipulation that the warden will choose randomly, in the 1 / 3 of the time that A is to be pardoned, there is a 1 / 2 chance he will say B and 1 / 2 ...
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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.
The probability of drawing another gold coin from the same box is 0 in (a), and 1 in (b) and (c). Thus, the overall probability of drawing a gold coin in the second draw is 0 / 3 + 1 / 3 + 1 / 3 = 2 / 3 . The problem can be reframed by describing the boxes as each having one drawer on each of two sides. Each ...
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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 ...