Find P(A and B) given P(A) and P(B)
61113
x amount of people drink coffee, y amount of people drink tea, z amount of people drink both
148666
Conditional probability with Bayes' Rule
94295
Pigeonhole-principle with two choices
37592
Jointly Complete Sufficient Statistics: Uniform(a, b)
55023
if $A$ subset of $B$ then $P(B)-P(A)=P(B\setminus A)\ge 0$
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 $P(A) \le \frac14$
13831
Find $ P(Z>X+Y)$ where $X,Y,Z \sim U(0,1)$ independently
157309
Does $P(A\cap B) + P(A\cap B^c) = P(A)$?
94037
Solving the matrix equation $AP=PB$, where $A$ and $B$ are similar
95800
Prove that if $\mathcal P(A) \cup \mathcal P(B)= \mathcal P(A\cup B)$ then either $A \subseteq B$ or $B \subseteq A$.
109778
Proving $(x-c)|(p(x)-p(c))$
89512
Finding two numbers given their sum and their product
33633
Re:$ (a,b,c,d)=(pr+qs, qr-ps,pr-qs,ps+qr) $
118565
Find a function value given 2 points
110443
Simplifying P(x|y,z) to P(x|z)
143424
Sequence problem involving inequalities
124333
A bijection between $\mathbb{N}$ and $\mathbb{P}(\mathbb{N})$?