In this episode Sam takes the lead to discuss two of his favorite "paradoxes" from probability.

The Monty Hall problem is a much-discussed challenge concerning the best strategy to win a car on a game show.

The Sleeping Beauty problem describes a situation philosophers can’t seem to agree about, even today.

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The paper Sam mentions on the Sleeping Beauty problem is:

Minimizing Inaccuracy for Self-Locating Beliefs

by Brian Kierland, Bradley Monton

https://onlinelibrary.wiley.com/doi/abs/10.1111/j.1933-1592.2005.tb00533.x

https://philsci-archive.pitt.edu/1224/1/minimizing_inaccuracy6.pdf