In §4.4 we are introduced to the concept of conditional probability. The notation P(A | B) denotes the probability of event A occurring given that we know event B has occurred.
Now consider the Monty Hall Problem introduced in the following video:
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- After watching this video, we know that if we are given the option to switch doors that, probabilistically speaking, it is in our best interest to switch.
- Explain why this is the case using your knowledge of conditional probability.