Math with Bad DrawingsCartoon Archive

Probability Social Services

April 24, 2017

The classic 'two children, at least one girl' probability puzzle is charming in class but alarming in real life.

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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/2017-04-24-probability-social-services/ (CC BY-NC 4.0)
Transcript

[In Probability Class] A: "I have two kids, at least one of whom is female." B: "Why, what a delightful puzzle!"

[In Real Life] B (on phone): "Hello, social services? Yes, I'd like to report a case of likely child neglect. Well, the parent doesn't even seem to know the children's genders."

Topics
Probability › Conditional ProbabilityProbability › Basic ProbabilityMath Culture › Problem SolvingProbability › Two-Child Problem
Level
High SchoolAP StatisticsCollege
Themes
Family & RelationshipsTeachers & ClassroomPuzzles & Problems