After the contestant chooses a curtain find probability

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The probability space
In a game show, a contestant is given a choice of 3 curtains. Behind one curtain is a prize, but the other two curtains conceal a sign saying "Sorry, you lose!". After the contestant chooses a curtain, the host, who knows where the prize is, will always open one of the curtains (not the one chosen by the contestant) to reveal a worthless sign. The contestant then has the option to stick with their original choice or switch to the remaining closed curtain. Model this problem in detail with a probability space. What should the contestant do?

Reference no: EM13118494

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