A biased six-faced die is tossed once. Suppose that the probability of any prime number showing up is twice that of any non-prime number showing up. Then, the probability that an odd number will show up is
Part BCSIR NET June 20251-is-not-prime-so-the-odd-faces-do-not-all-carry-the-doubled-weight
1 is not prime so the odd faces do not all carry the doubled weight
Related counterexample: Pairwise independent events are mutually independent
- symmetry of dependenceJune 2023
- the selection weight cancels the white fractionDecember 2024
- the weights cancel against the white fractionDecember 2024
- conditioning is a measure only for fixed conditionJune 2024
- a flat improper prior adds no information so the posterior variance does not shrinkJune 2025
- prior precision not prior variance is what adds to nJune 2025
The chapter behind this: Probability axioms, conditioning and independence — free to read
From Probability › Axioms, conditional probability, independence, Bayes