Let A and B be two random variables, both independent from another random variable C. Is A*B also independent from C?
31133
Functions of Independent Random Variables
155228
$X_i, X_j$ independent when $i≠j$, but $X_1, X_2, X_3$ dependent?
152495
Prove that if $X$ and $Y$ are Normal and independent random variables, $X+Y$ and $X-Y$ are independent
68887
A probability theory question about independent coin tosses by two players
153393
Is there a *simple* example showing that uncorrelated random variables need not be independent?
4702
Is it possible to have a pair of Gaussian random variables for which the joint distribution is not Gaussian?
126963
Is the sum of two variables independent of a third variable, if they are so on their own?
20728
Proof that this is independent
14664
Sum of indepedent random variables and a constant
28006
The minimum of two independent geometric random variables
122719
Show that random variables $X$ and $Y$ are not independent, but nevertheless Cov$[X,Y] = 0$
57055
Are $|X|$ and $\operatorname{sgn}(X)$ independent?
21097
If $A$ and $B$ are independent events, and $A$ and $C$ are independent events, how do I show that $A$ and $B\cup C$ are independent?
6190
Maximum/minimum of two random variables is a random variable
68137
Independence and conditional independence between random variables
142966
Intuition behind independence and conditional probability
149781
Probability of Independent Normal Random Variables