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The chance of the golden key = 3/4
The chance of getting 2 working silver keys and one wrong key = (3/4)^2 * 1/4 = 9/64
The chance of getting 3 working silver keys = (3/4)^3 = 27/64
(9/64 + 27/64)= 36/64 < 3/4
You should always go for the golden key
Or am I retarded?