P(X>0|X+Y>0) X,Y normal IID

[Stavhaco]

X,Y normal IID: P(X>0|X+Y>0)=?
From X+Y>0 I can tell either (X>0 and Y>0) OR (X>0 AND Y<0 AND X>|Y|)
But can't figure the probability for this.
Any suggestions?

 

[Deleted member 4993]

X,Y normal IID: P(X>0|X+Y>0)=? From X+Y>0 I can tell either (X>0 and Y>0) OR (X>0 AND Y<0 AND X>|Y|)But can't figure the probability for this.Any suggestions?

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