Answer by user28 for What are independent events?
To add to the Rob's answer the joint probability of two events in the discrete case can be decomposed as follows (See the wiki's definition for the discrete case) :$P(A \cap B) = P(A|B) P(B)$Therefore,...
View ArticleAnswer by Rob Hyndman for What are independent events?
I find it easiest to think of independence in terms of conditional probabilities: $X$ and $Y$ are independent if $P(Y|X)=P(Y)$ and $P(X|Y)=P(X)$. That is knowing one does not change the probability of...
View ArticleWhat are independent events?
I know that if events $A$ and $B$ are independent, then $P(A\cap B) = P(A).P(B)$.Lets say I roll a die, and define the following events:$x$ = Number is a multiple of $3 = \lbrace 3, 6\rbrace$$y$ =...
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