Can two events be mutually exclusive but not independent?
3888
What is the difference between independent and mutually exclusive events?
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?
150089
What does bitwise XOR (exclusive OR) mean?
147874
Why does the existence of independent statements not prove consistency?
12004
Intuitive reason why jointly normal and uncorrelated imply independence
100748
Probability, quantum physics, and why (can't it/does it) apply to macroscale events?
130389
Does non-zero correlation imply dependence?
61347
Understanding a probability paradox
57692
If A and B are correlated with C, why are A and B not necessarily correlated?
15558
Zero probability and impossibility
125204
Is the second defined arbitrarily?
129926
Assume $A,B,C,D$ are pairwise independent events. Decide if $A\cap B$ and $B\cap D$ are independent
68137
Independence and conditional independence between random variables
21139
What happens when creature has two mutually exclusive restrictions on what can block them?
142775
What items are mutually exclusive between worlds?
106272
Do numbers exist independently from observers?
20750
Proving an equality regarding fully independent events