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Lets assume the door which opens is Random...
3 doors- D1 D2 D3
D1 has the prize. You choose D2.
Now if the choice was random we must assume in turn that each door opens.
If D1 opens- You know which door did have the prize, but you didnt pick it. 0% Chance.
If D2 Opens- You must choose between D1 and d3- You know one has a prize and the other doesnt. 50% chance.
If D3 Opens- Same as D2.
NOw lets assume You Pick D1.
D1 Opens-You got it Right!!! Screw Probability!!
D2 or D3 Opens- See above.
NOte that the white writing assumes the opened door is random, the blue in my previous post assumes it is not.
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