Math with Bad DrawingsCartoon Archive

Bound to Get a 3

February 5, 2018Original blog post

Someone assumes six rolls of a die guarantee a 3. The dice disagree, and they cancel their Las Vegas trip. (The real chance of at least one 3 in six rolls is 1 − (5/6)⁶ ≈ 67%.)

Transcript

"In six rolls, I'm bound to get a 3 on one of them!" → [six dice, none showing 3] → (on the phone) "Southwest Airlines? Yes, I'd like to cancel a trip to Las Vegas…"

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Free for classrooms, worksheets, slides and other non-commercial use under CC BY-NC 4.0, with credit to Ben Orlin.

Cartoon by Ben Orlin, Math with Bad Drawings. https://cartoons.mathwithbaddrawings.com/2018-02-05-bound-to-get-a-3/ (CC BY-NC 4.0)
Topics
Probability › DiceProbability › Gambler's Fallacy
Level
Middle SchoolHigh SchoolAP Statistics
Themes
Common MistakesEveryday Life