# Questions tagged [set-theory]

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### Probability, set theory and predicates

If $P(t_1,\ldots,t_{n+m})$ is some predicate depending on $n+m$ terms (for example $x\leq c$ depends on two terms), and each $X_i$ is a discrete random variable with support $\Omega_i$, and each $c_i$ ...
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### Wisdom of the Crowd Disagreement Probability [closed]

I'm trying to estimate the likelihood that a set of annotators will have at least one dissenter. For n annotations, we know the probability that they will annotate any given record P(a) and the ...
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### What is the variance of the difference of two random-variable indicators with a chance of intersection between events?

Let $X$ be an event whose probability P($X$) = $p$ and let $Y$ be an event whose probability is P($Y$) = $q$. The probabilit$Y$ of $X$ intersection with $Y$, $P(X \cap Y)$ = $r$. $I_X$ is the ...
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If I have two sets A and B and take $$P((A\cap B) \cap (A\cup B)),$$ is this the same as $P(A\cup B)$?