Independence.md (597B)
1 # Independence 2 3 L3 4 5 **Definition:** Independence in probability is the case where some even B occuring does not affect the conditional probability of A occuring. 6 7 Two Formal Definitions: 8 9 1. P(A|B) = P(A) 10 2. P(A intersect B) = P(A)P(B) 11 12 Second definition is better, but first, to me, is more intuitive. 13 14 ## Conditional Independence 15 16 There can also be independence given conditions called conditional independence. This occurs when specifying a condition and finding out that our two conditional definitions are true in the newly refined sample space that has been updated with further knowledge.