TL;DR
This paper examines probability calculations and ambiguity in classic problems like the broken stick, two boys, and three prisoners, analyzing how problem statement ambiguity affects probabilistic reasoning.
Contribution
It provides a detailed analysis of the ambiguity in well-known probability problems and explores how this impacts their interpretation and solutions.
Findings
Ambiguity significantly influences probability calculations.
Analysis of classic problems reveals common sources of interpretative issues.
Clarifying problem statements can lead to more accurate probabilistic reasoning.
Abstract
The title of the article is identical to the title of Chapter 21 in Gardner (2001): because we are going to analyze the probability calculations and the ambiguity of the problem statements. We will analyze 3 out of 4 problems from Gardner (2001): broken stick, two boys, three prisoners; and the obtuse random triangle in Hamming (1991) problems. Keywords: Broken stick problem, Obtuse triangle problem, Bertrand's problem, Two sons problem, Three prisoners problem, Monty Hall problem; probability function, probability density, randomness, ambiguity
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsBayesian Modeling and Causal Inference · Statistics Education and Methodologies