Say I have 10 Boxes and there's money in one of them. For each box $i$, I get to ask if the money is inside it - what are my chances of finding the money after $k$ questions?
So, it is geometric in the sense that I keep doing the same thing until I succeed, but the probabilities keep changing. How should I look at it? The obvious answer would be $P(X=k) = 1/10-k$, but I'm not sure about it. Any hints? Thanks!