WebFIRST CASE: Show host opens 2 doors for you: If you had picked the right door to begin with, you would lose from changing. However, this will only be the case 1/4 of the time. So 1/4 of the time you will win by staying. Then show opens two doors with goats - WebDec 23, 2016 · The problem: You’re given a choice of three doors. Behind one is a car, behind the other two are goats. You pick a door—say, No. 1—and the game-show host …
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WebCase 1: The contestant's choice hides a goat. The host reveals whichever door also hides a goat. Protocol is irrelevant; the host has no choice if a goat is to be revealed. There is chance this will be either door and the other will certainly hide a car. Case 2: The contestant's choice hides a car. WebMay 6, 2024 · Our equation may look a little intimidating at first, but it’s just a quadratic equation in r. There’s a standard procedure for solving such equations: We rearrange it … elasticsearch command line tools
Marilyn is tricked by a game show host - Harvard University
WebAug 24, 2024 · Here we go. Again, the set-up involves a game show and three doors. Behind one door is a car. Behind a second door are the car keys. Behind the third door is … WebMay 6, 2024 · Now we just need to find the value of r that gives the goat access to half the square. The entire square has area 16, so all we have to do is plug A = 8 into our equation and solve for r and we’ll be finished. 8 = \frac {1} {2}r2 arccos \left (\frac {r^ {2}-8} {r^ {2}}\right) + 2 \sqrt {r^ {2}-4}. WebSince the contestant saw a goat, the third and sixth possibilities are eliminated. The remaining for possibilities are equally likely. In two of these remaining four possibilities, you have already chosen the correct door, and switching would be a mistake. In the other two possibilities, switching would be a winner. elasticsearch commands cheat sheet