# Tagged Questions

4k views

### Is Lewis Carroll's reasoning correct?

A bag contains 2 counters, as to which nothing is known except that each is either black or white. Ascertain their colours without taking them out of the bag. Carroll's solution: One is black, and ...
41 views

### Geometrically distributed RV's - what's wrong with my reasoning?

Let $X$ and $Y$ be iid random variables distributed geometrically with probability of success $p$ and support $\mathbb{N}=\{0,1,2,\cdots\}.$ So in particular, letting $q=1-p$, we have that ...
417 views

### Coin Flip Betting System

-Read comments before posting I came up with a betting system that seems to defy logic... explain why its wrong? Here's the "logic" behind it Rule: If you flip a coin enough times(x) the number of ...
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### Is the conclusion(last line) correct? If not, what's wrong with this proof ? (Probability Density Estimation, Bayesian inference)

(Probability Density Estimation, Bayesian inference) $x_1$ and $x_2$ are independent random variables, so $p\left(x_1,x_2\right)=p\left(x_1\right)\cdot p\left(x_2\right)$ and ...
562 views

### How to explain this paradox involving coin-tosses?

I do this experiment: I flip fair coin, if it comes heads on first toss I win. If it comes tails, I flip it two times more and if both heads I win. Else, I flip it 3 more times, if it comes heads all ...
I am learning about mutual information, and am confused about one of the definitions. Mutual information is defined as $I(X;Y) = H(X) - H(X | Y)$ where,  H(X) = \sum_{x} p(x) \log ...