So, imagine you're on a game show. There are three doors. Behind one is a car, behind the other two, goats. You pick Door #1. The host, who knows what's behind each door, opens Door #3, revealing a goat. He then asks if you want to switch your choice to Door #2.

Do you switch? Does it matter? Most people say no, your odds are 50/50 now. But that's not how it works. Your initial pick had a 1/3 chance. The remaining two doors combined had a 2/3 chance. When one of those 'goat' doors is revealed,
So, imagine you're on a game show. There are three doors. Behind one is a car, behind the other two, goats. You pick Door #1. The host, who knows what's behind each door, opens Door #3, revealing a goat. He then asks if you want to switch your choice to Door #2. Do you switch? Does it matter? Most people say no, your odds are 50/50 now. But that's not how it works. Your initial pick had a 1/3 chance. The remaining two doors combined had a 2/3 chance. When one of those 'goat' doors is revealed,
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