0 votes 0 votes I learnt that if probability of an event is 0 then this is independent of all other events and mathematics also second that statement. Can anyone explain the intuition behind it Probability probability + – newbie asked Dec 24, 2018 • edited Dec 24, 2018 by newbie newbie 1.0k views answer comment Share Follow See all 26 Comments See all 26 26 Comments reply Show 23 previous comments Lakshman Bhaiya commented Dec 24, 2018 reply Follow Share Yes thank you 0 votes 0 votes newbie commented Dec 25, 2018 reply Follow Share With due respect @srestha mam I beg to differ about this point --> "That means two has no intersection point". If Two event has no intersection point then it is not the case of independence (Given Both Event has +ve probability) Here suppose P(A) = 1/3 and P(B) = 2/3 initially After sometime we know that Event A happen then I will change the probability of B from 2/3 to 0 and Hence A and B are not independent. I think Independence has nothing to do with disjoint property Please correct me if I am wrong 0 votes 0 votes srestha commented Dec 25, 2018 reply Follow Share yes disjoint and independent are different disjoint cannot occur in same time good example if A= prob of tail i.e. 1/2 B=prob of head i.e. 1/2 Then in disjoint event $P\left ( A\cap B \right )=1/2\times 1/2=1/4$ but for independent event $P\left ( A\cap B \right )=0$ because independent event cannot have any intersection point https://math.stackexchange.com/questions/1832686/probability-are-disjoint-events-independent 0 votes 0 votes Please log in or register to add a comment.