Yeah, the game was supposed to be just a bit random, but I may have overshot it. On level 3 monty won't open the door he chooses, you weren't given an offer because you probably picked the winning door first, but yeah that's still 1/2 :PP
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That was I thought, but I was not! Here is what happened:
1 - I picked the left door
2 - Monty opened the right door
3 - He does not offered me to change (so, the door I chose was the green door)
4 - I open and it was red
So my interpretation is :
1 - Monty chooses a door (1/3 chance)
2 - If player chooses this door, the mechanism works
3 - If the player does NOT choose this door AND Monty opens the choosen door, the mechanism could not apply
4 - So, the player still have 1/2 chance to get the green door
I'm not telling it's bad idea, it's totally fine following the Monty Hall problem as well, but for a jam game it's really too random and frustrating.
Damn, man you are making me think ... So I think what's happening is when you choose a losing door (not the one monty picked), he will reveal his chosen door, I didn't think of making him not reveal a door, until some levels in ;PP. And if you always switch in this level it turns out you have a 2/3 chance to win. Thanks for the feedback man!