You are a contestant in a game show in which a prize is hidden behind one of three curtains. You will win the prize if you select the correct curtain. After you have picked one curtain but before the curtain is lifted, the emcee lifts one of the other curtains, knowing that it will reveal an empty stage, and asks if you would like to switch from your current selection to the remaining curtain. How would your chances change if you switch?
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before emcee lifted the curtain the probability of your winning was =1/3 as you were not sure that behind which curtain your gift is.
after emcee lifted the curtain which no not contains any gift you're left with only 2 options which increases your probability of winning the gift
Step-by-step explanation:
probability before=1/3 =0.3333333%
probability after=1/2 =0.5%
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