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Q&A: The Monty Hall Question

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Originally published:
This is an English translation (via GPT-5.4). Read the original Hebrew version.

The Monty Hall Question

Question

Hello Rabbi, I wasn’t able to understand why the advantage of switching doors exists only when the host knows where the car is located, but when a door is opened at random and a goat comes out, then there is no advantage to switching doors. I looked for explanations on the internet and didn’t find a satisfactory one.

Answer

פרדוקס המעטפות (טור 288)

Discussion on Answer

Yeshiva Student (2024-03-18)

I saw in the asterisked note at the bottom that you distinguished between a situation where the host knows and one where a door was opened at random, but you didn’t explain why that distinction should be made.

Yeshiva Student (2024-03-18)

Okay, never mind, I understood.

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