After presentation review and notes

[ccbaumler]

The HackMD document presented issues for some students and faculty because it requested login or sign-up -> https://hackmd.io/9wXT4nMySiG_O9y0HP58gw?view

One possible solution would be to publish the HackMD before presenting again. Or migrating it into github?

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One point of confusion was when Titus jumped to the end of the notebook to show the plots for the explanation of the classical Monte Hall situation. Before the next step of the lecture (i.e. adding more doors), add some plot code chunks for students to follow.

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Scott gave a simple intuitive explanation on the solution that nicely primed for deeper discussions on the math.

With always_switch() you win every time you got your initial door pick wrong! (i.e. You only get pick the wrong door initially 1/3 of the time. Winning 2/3 of the time.)

This paired with Titus' board drawing was nice. Add it to the hackmd?

	Door 1	Door 2	Door 3	Probability
If car in Door 1:	Initial pick has car	Monty Hall Choice	Monty Hall Choice	$\frac{1}{3}$
If car in Door 2:	Initial pick has 'goat`	Monty Hall Choice	Monty Hall Choice	$\frac{1}{3}$
If car in Door 3:	Initial pick has goat	Monty Hall Choice	Monty Hall Choice	$\frac{1}{3}$

This explanation and table help 10 doors become immediate intuitive.

[ccbaumler]

Could also add in the central limit theorem wiki
https://en.wikipedia.org/wiki/Central_limit_theorem