Intuition behind the definition of conditional probability: why $\textbf{P}(A\cap B) = \textbf{P}(A|B)\textbf{P}(B)$
39219
Understanding why conditional probability is defined the way it is.
127754
Interpretation of a probability problem: expected value.
83464
Conditional expectation of $\mathbb{E}(X - Y | (X, Y)\in\mathcal{A})$
137879
Question about conditional probability and Baye's formula
75381
How can we reason about "if P then Q" or "P only if Q" statements in propositional logic?
13113
Intuition behind using complementary CDF to compute expectation for nonnegative random variables
46170
Why is the probability that a continuous random variable takes a specific value zero?
148355
Regarding Goldstein's claim that $\mathbf{F} = \dot{\mathbf{p}}$
62549
Chain Rule Intuition
51816
Meaning of probability notations $P(z;d,w)$ and $P(z|d,w)$
45492
Using Joint Distributions and conditional probabilities
29031
How does "If $P$ then $Q$" have the same meaning as "$Q$ only if $P$ "?
23843
Abstract Integration in Elementary Probability Theory
68162
Expected value of the conditional choice probability
47161
Quick logic question about $P\leftrightarrow Q$, terminology
100844
How should I understand "$A$ unless $B$"?
66535
How to prove $P(A\cap B)\geqslant P(A)+P(B)-1$?