I was never good with probability. I have this question which is not a homework. Let's say we have a set of $N$ people. Each has a probability $p$ to die at a given moment. What is the probability that a given person $x$ from the set of $N$ people dies before the remaining $N-1$ persons?
I am not sure where to start? In fact I am not sure $N$ plays a roll here? Thanks.
Note: Death can occur at any moment.