query: Show that the probability that it falls entirely on one brick is $\frac{(a-c)(b-c)}{ab},( c<a, c<b).$
positive_passages.docid: 156093
positive_passages.text: Show that the chance that it falls entirely on one rectangular block is $\frac{(a-c)(b-c)}{ab}$
negative_passages.docid: 110944
negative_passages.text: Proving that $AB-BA=cI$ for nontrivial $c \in \mathbb{C}$
negative_passages.docid: 77056
negative_passages.text: A very easy probability problem but opinions diverge greatly. Need some help.
negative_passages.docid: 126335
negative_passages.text: Probability of a painted cube being reassembled into itself
negative_passages.docid: 121753
negative_passages.text: probability that there is at least one defective part
negative_passages.docid: 18119
negative_passages.text: Show that if a,b,c,d are positive then $\frac{ab}{a+b}+\frac{cd}{c+d}\le \frac{(a+c)(b+d)}{a+b+c+d}$
negative_passages.docid: 69568
negative_passages.text: Probability, conditional on a zero probability event
negative_passages.docid: 14002
negative_passages.text: What is the probability that throwing $m$ balls at random in $n$ urns at least one urn contains $c$ elements?
negative_passages.docid: 127311
negative_passages.text: Challenging probability problem
negative_passages.docid: 15441
negative_passages.text: Show $\frac{1}{4}\leq \mu(A\cap B \cap C)$
negative_passages.docid: 50626
negative_passages.text: Probability a random walk is back at the origin
negative_passages.docid: 44989
negative_passages.text: question on probability of roll of one dice
negative_passages.docid: 75035
negative_passages.text: Law of Total Probability/Independence question
negative_passages.docid: 102088
negative_passages.text: Law of total probability on conditional
negative_passages.docid: 26833
negative_passages.text: Prove that $\mathbb P(X>Y) =\frac{b}{a + b}$ if $X, Y$ are exponentially distributed with parameters $a$ and $b$.
negative_passages.docid: 116215
negative_passages.text: Prove that $P(A \cap B\mid C)=P(A \mid (B \cap C))P(B\mid C)$
negative_passages.docid: 21726
negative_passages.text: Show that if $(b,c)=1$, then $(a,bc)=(a,b)(a,c)$.