a simpler proof for an inequality in probability
36374
Exercise 1.6.3 from Alon & Spencer's *The Probabilistic Method*: prove that $Pr[|X-Y| \leq 2] \leq 3 Pr[|X-Y| \leq 1]$ for i.i.d. real RVs $X$ and $Y$
128189
Proving Integral Inequality
136694
Probabilistic Proof of Kraft-Mcmillan Inequality
26828
Generalization of Hölder inequality
113202
Bounded in Probability and smaller order in probability
122326
Proving $|P(A\cap B)-P(A)P(B)|\leq \frac{1}4$
117262
Proving a logarithm inequality
11983
Proof of Clarkson's Inequality
54905
A classical inequality involving the central binomial coefficient
50830
Case of equality in Markov's inequality
120309
Number Theory Inequality Proof
91740
Hadamard's inequality proof
46760
To show that $P(|X-Y| \leq 2) \leq 3P(|X-Y| \leq 1)$
138962
$X$ is a random variable, if $\Bbb E(X^2)=1$ and $\Bbb E(X)\geq a>0$, prove that $\Bbb P(X\geq\lambda a)\geq(a-\lambda a)^2$ for $0\leq\lambda\leq 1$.
141165
Probability of $p(x_1<x_2<\max(x_3,x_4))$
76347
Shorter proof for some equvalences
78754
Showing that $E[X|X<x]$ is smaller or equal than $E[X]$ for all x