Questions tagged [bayes-rule]

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Conditional Probability Question $(X \cup Y)$

I cannot seem to solve this conditional probability question. Suppose $X$ and $Y$ are two events from a sample space with $\Pr(X) = 0.25$, $\Pr(Y) = 0.5$ and $\Pr(X|X \cup Y) = 0.5.$ Find $\Pr(X \...
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Number of parameters to calculate in Naive Bayes with and without independence assumption

I am just getting started with trying to understand the theory behind Naive Bayes a bit. $Y$ = boolean-valued rv $X_i$ = boolean-valued rv (part of random vector $\vec{X}$). From what I understand, we ...
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Question about some basics

I have been wondering about an issue connected with prevalence. And came up to some conclusions which I would like to verify. It's not complicated. Let's assume we have two prevalences: (A) percentage ...