Tagged Questions

The Monty Hall problem is a probability puzzle with a solution that is counterintuitive to many.

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Monty Hall Problem Intuition

I was thinking about the Monty Hall problem and I thought of a possible intuitive explanation: You choose a door. Monty gives you the option of sticking with your original choice or instead ...
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Probability: A deck split into piles

I have a deck of cards labeled $1, 2, \ldots, 9$. I give them a good shuffle and split them into $3$ piles, each with $3$ cards. Let's call these piles $A, B, C$. I draw the top card from pile $A$ ...
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Monty Hall Variation: Choosing 2 Doors

I'm learning about the Monty Hall problem, and found a question which has confused me: Consider the following four-door Monty Hall problem: Step 1: you choose one door such as door 1. Step 2:...
After seeing the popularity of the standard $3$ door problem, Monty thought to put a twist in the story. There are $N$ doors, $1$ car, $N-1$ goats. We need to choose any one of the doors. After we ...