No, you can't, at least not one that behaves like the quantum wave function does. Classical probabilities are real numbers between zero and one. The wave func

No, you can't, at least not one that behaves like the quantum wave function does. Classical probabilities are real numbers between zero and one. The wave function takes on complex values, which allows you to add two wave-function values with non-zero magnitude and get zero, i.e. produce destructive interference. Classical probabilities can't do that.