076概率简单数值题short
Monty Hall with an Ignorant Host
题目
In a game show, three doors hide one car and two goats. You pick Door 1. The host, who does not know where the car is, opens Door 3 and it happens to reveal a goat. Given that the host revealed a goat (rather than accidentally revealing the car), what is the probability that the car is behind Door 2? Compare this with the classic Monty Hall problem where the host always knowingly reveals a goat.
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你的答案
Probability (Ignorant Host)
Probability (Knowing Host)