Given a random vector $X\in\{0,1\}^{N\times1}$ with $Pr[X_i=1]=p$ (essentially X is drawn from a binomial distribution with probability of success = p), let $X_d\subset X$ of length $d$. What is the probability that $n(X_d=1)=r$?
2026-03-24 22:07:46.1774390066
Probability of r 1s in a subset of length d of a random vector
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