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Whether he reveals the goat by luck or because he knew which door had the prize is the entire point of the problem.
by colinmhayes 4y ago
Whether he reveals the goat by luck or because he knew which door had the prize is the entire point of the problem.
- Jtsummers 4y agoNo, it's not. The point of the problem is that it's better to switch than not given the scenario presented. Whether he knows or not doesn't actually change anything, he does reveal a goat. Whether it was luck or deliberate makes no difference.
- antris 4y agoSwitching doesn't change where the prize is more likely to be. That's not how the Monty Hall Problem works. It's the host giving you information about what's happening behind the scenes, by choosing a door to open and you knowing how the host operates. Whether you end up switching or not, the other opened door is 2/3 likely to contain the prize and the door you picked originally has a 1/3. Whether you switch or not, doesn't change the odds.