All Questions
Tagged with paradoxes probability-theory
3
questions
30
votes
7
answers
5k
views
Card doubling paradox
Suppose there are two face down cards each with a positive real number and with one twice the other. Each card has value equal to its number. You are given one of the cards (with value $x$) and after ...
- 9,317
10
votes
1
answer
975
views
How to show that the event that a prisoner does not go free is not measurable
I was reading this webpage a few months ago about the following problem-
A countable infinite number of prisoners are placed on the natural numbers, facing in the positive direction (ie, everyone can ...
- 35.1k
6
votes
1
answer
4k
views
Expected value of the distance between 2 uniformly distributed points on circle
I have the following problem (related to Bertrand):
Given a circle of radius $a=1$. Choose 2 points randomly on the circle circumference.
Then connect these points using a line with length $b$. ...
- 63