query: Proof Concerning the Union of Events A,B,C
positive_passages.docid: 53467
positive_passages.text: Probability of the union of $3$ events?
negative_passages.docid: 70951
negative_passages.text: Prove divisibility law $\,b\mid a,c\,\Rightarrow\, b\mid ka + lc$ for all $k,l\in\Bbb Z$
negative_passages.docid: 59644
negative_passages.text: Proof of Cartesian product intersection
negative_passages.docid: 87928
negative_passages.text: Proof of logical equivalence of biconditional and other proposition
negative_passages.docid: 121457
negative_passages.text: Probability of a Union
negative_passages.docid: 129926
negative_passages.text: Assume $A,B,C,D$ are pairwise independent events. Decide if $A\cap B$ and $B\cap D$ are independent
negative_passages.docid: 24212
negative_passages.text: proving how many permutations exist.
negative_passages.docid: 13167
negative_passages.text: Prove $A = (A \setminus B) \cup (A \cap B)$
negative_passages.docid: 89175
negative_passages.text: Proof of $(a+b)^{n+1}$
negative_passages.docid: 106756
negative_passages.text: Union and Intersection of Sets $A_{i}$ and $B_{j}$
negative_passages.docid: 111032
negative_passages.text: Proof of Sets involving the Cartesian Product
negative_passages.docid: 30770
negative_passages.text: Prove that $C\left(\bigcup_{\alpha\in I} A_\alpha\right)=\bigcap_{\alpha\in I}C\left(A_\alpha\right)$
negative_passages.docid: 5149
negative_passages.text: Show $\binom{a}{b}\binom{b}{c}=\binom{a}{a-c}\binom{a-c}{a-b}$
negative_passages.docid: 5801
negative_passages.text: Combinatorial proof help
negative_passages.docid: 61483
negative_passages.text: Prove the following identity combinatorially
negative_passages.docid: 56878
negative_passages.text: Proof that $a\mid b \land b\mid c \Rightarrow a\mid c $
negative_passages.docid: 74523
negative_passages.text: Proof by Cases involving divisibility