Sep 22, 2020 · The statements “disjoint events with positive probability are not independent” and “independent events with positive probability are not disjoint” are equivalent statements. You have …

Jun 20, 2016 · Two events are disjoint, or exclusive, if their intersection is an empty set, which in turn infers it to have zero probability. The intersection of disjoint events is impossible.

Mar 7, 2018 · Two events are mutually exclusive if the probability of them both occurring is zero, that is if Pr(A ∩ B) = 0 Pr (A ∩ B) = 0. With that definition, disjoint sets are necessarily mutually exclusive, but …

Mar 9, 2019 · Pairwise disjoint is another way of saying 2 2 -wise disjoint, that is if you pick any two of these sets then they have empty intersection. A related term is mutually disjoint, which also means n …

Sep 22, 2014 · Two events are mutually exclusive if they can't both happen. Independent events are events where knowledge of the probability of one doesn't change the probability of the other. Are …

Apr 28, 2020 · It is not clear to me what is/should be the standard definition of "mutually exclusive" in probability, as there seem to be two definitions in the literature. In the top response in this thread,

Feb 7, 2023 · The same applies in this case. So if you have two disjoint events where at least one has probability $0$, then they are independent. It's a degenerate still a degenerate example, so what you …

Jul 4, 2015 · Let A A and B B two disjoint events such that P(A) = 0.3 P (A) = 0.3 and P(B) = 0.5 P (B) = 0.5. Find the probability that i) A A or B B ocurrs ii) A A occur but not B B iii)repeat i) i) and ii) i i) with …

Dec 30, 2021 · Most people think drawing Venn Diagrams that are disjoint demonstrates independence, but that is false. If two events are disjoint, they are inherently dependent.

Aug 30, 2020 · Two disjoint events are necessarily mutually exclusive, and if they also have positive probabilities then they must be dependent.