Interesting, I never saw the arithmetic probability formula for xor.
Though the original topic was truth values, not probabilities. To make it short, conjunctions in probability are multiplicative when they are independent, and disjunctions in probability are additive when they are mutually exclusive.
Re:
by EGreg on Sunday November 05, 2023 @03:08PM
(#38155107)
Well I actually came up with it on the spot. Just think of the venn diagram, and add the areas of A and B, which counts A^B twice, and then just remove it twice. :)
Though the original topic was truth values, not probabilities. To make it short, conjunctions in probability are multiplicative when they are independent, and disjunctions in probability are additive when they are mutually exclusive.