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4 votes
1 answer
279 views

Is there a name for this probabilistic paradox?

Let $X\sim Exp(1)$ and $Y\sim Exp(\lambda)$, independent. Then, \begin{align} f_{X|Y=mX}(x) = \frac{f_{X,Y}(x,mx) }{\int f_{X,Y}(x,mx) \:dx }=\frac{f_X(x)f_Y(mx) }{\int f_X(x)f_Y(mx) \:dx } = \frac{e^{...
Christopher Wu's user avatar
11 votes
5 answers
3k views

Crisis in my understanding of probability [duplicate]

If I were to roll a die, what would ​be the probability of getting $2$? Certainly it would be $\dfrac 16$ (because there are $6$ numbers and sample space contains 6 numbers) But I think we can look ...
user167920's user avatar