Is $P(A\cap B \mid C) = P(A \mid C) \cap P(B \mid C)$ correct?
116215
Prove that $P(A \cap B\mid C)=P(A \mid (B \cap C))P(B\mid C)$
834
If $p$ is a prime and $p \mid ab$, then $p \mid a$ or $p \mid b$.
66563
Is $ (A∪B)×(C∩D)=(A∪C)×(B∪D)$ true for all sets A,B,C and D?
62770
Does $a\mid bc$ imply $a\mid b$ or $a\mid c$?
63535
Prove that if $A – C = B – C$ and $A\cap C = B\cap C$ then $A = B$
66535
How to prove $P(A\cap B)\geqslant P(A)+P(B)-1$?
5149
Show $\binom{a}{b}\binom{b}{c}=\binom{a}{a-c}\binom{a-c}{a-b}$
87955
How to prove that $P \rightarrow Q$ is equivalent with $\neg P \lor Q $?
103441
Proving $(A\cup B)\cap(B\cup C)\cap(C\cup A)=(A\cap B)\cup (A\cap C)\cup (B\cap C)$?
111800
If $a|c$ and $b|d$, is it true that $ab|cd$?
43219
If $[K(\alpha):K]=p\neq q=[K(\beta):K]$ then $[K(\alpha+\beta):K]=pq$
144266
set theory proof of $A\cap B = A \setminus(A\setminus B)$
71717
Is this always true: $P(A|B) = 1-P(A^c|B)$?
104124
Prove or disprove: $A-(B-C) = (A-B)-C$
43310
Proving $A\cap(B-C)$ is equal to $(A\cap B)-(A\cap C)$
111088
Conditional probability, $E[E(X\mid Y)\mid Y,Z]=?$
57979
If $P(A \cup B \cup C) = 1$, $P(B) = 2P(A) $, $P(C) = 3P(A) $, $P(A \cap B) = P(A \cap C) = P(B \cap C) $, then $P(A) \le \frac14$