21 — Monty Hall Problem

MIT Professor, Micky Rosa (played by Kevin Spacey) challenges Ben with the Monty Hall problem of selecting a door with a prize hidden behind it. The Monty Hall Problem is based on a statistics brain teaser that insists the optimal choice is to switch your decision after the host reveals what’s behind one of the doors.

Vox — Shut Up About the Y-Axis

The truncated y-axis gets a bad wrap because a lot of individuals use it to mislead their audience. Vox argues that sometimes the truncation is important, but it’s important to know when/how to use it.

Corner Gas — A Riot is Not 50/50

 

A small-town cop gets a taser gun in case of a riot. His waitress asks about the odds of a riot breaking out and the cop’s partner responds with an innumerate answer.  The answer of 50/50 implies it’s just as likely as not to have a riot in the town of Dog River. In this rural setting, it’s way more likely NOT to have a riot. It’s almost like asking what’s the probability of rolling a 3 on a 6-sided die and someone answering 50/50: either you roll a 3 or you don’t. We know that answer should be 1/6 because either you roll a 3 or you don’t and the don’t includes rolling a 1,2,4,5, or 6. It’s much more likely not to roll a 3 so the size of the set (a 3 or a riot) is much smaller than its complement.

Thanks to Austin Boyle for the clip and the description!

Numb3rs: Monty Hall Problem

Charlie teaches his class “Math for Non-Mathematicians” the Monty Hall problem, where a game show contestant must decide whether to change their minds if given the option of 3 cards.

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