All Questions
Tagged with paradoxes probability-theory
7
questions with no upvoted or accepted answers
4
votes
2
answers
90
views
Question Regarding Proposed Solution to the (Closed Envelope Version of) Two Envelope Paradox
Su, Francis, et. al. have a short description of the paradox here: https://www.math.hmc.edu/funfacts/ffiles/20001.6-8.shtml
I used that link because it concisely sets forth the paradox both in the ...
- 413
1
vote
0
answers
69
views
Lack of strong law for the Saint Petersburg paradox
The Saint Petersburg paradox can be formulated as follows: Suppose we have a lottery whose payout ${X}$ takes taking values in the powers of two ${2,2^2,2^3,\dots}$ with
$\displaystyle {\bf P}( X = 2^...
- 1,011
1
vote
0
answers
109
views
how does Bertrand's paradox challenge the classical definition of probability?
On page 9 of Papoulis's book[Probability, Random Variables, and Stochastic Processes], the classical definition of probability is as follows:
The probability of an event equals the ratio of its ...
0
votes
0
answers
64
views
Variation of St. Petersburg Paradox
I was discussing the the St. Petersburg paradox and the following question came up:
Suppose the game doesn't end within nine rounds, then the player directly receives $2^{10}$ dollars , while ...
- 371
0
votes
0
answers
224
views
Forex rate: Expected value paradox
Let us suppose at present
1 dollar = 1 euro
After 1 year
There is 50% chance that 1 dollar = .80 euro ...[1]
And there is 50 % chance that 1 dollar = 1.25 euro ...[2]
Therefore expected value ...
- 539
0
votes
0
answers
112
views
A paradox with the additivity axiom of probability theory
Suppose F is a finite set of propositions such that, for every proposition A in F and every proposition B in F such that A is distinct from B, P(A) = P(B) and A is inconsistent with B.
By using the ...
- 91
0
votes
1
answer
42
views
Paradox in Theory of probability of transition to polar coordinates
Let there are two independent random variables $X$,$Y$ with normal distribution. Vector $(X, Y)$ can be considered as a random point on the plane. Let $R$ and $\phi$ polar coordinates of this point.
...
