Question

for any two events X and Y, P(X/Y)=1-P(Y/X) True or False?

Answer 1

seems unlikely, we can try one and see

Answer 2

what is true is that \(P(A^c)=1-P(A)\) but
\[P(A|B)=\frac{P(A\cap B)}{P(B)}\] and similarly
\[P(B|A)=\frac{P(A\cap B)}{P(A)}\] but one is not one minus the other

Answer 3

so it's FALSE

Answer 4

is this set theory or stats? im confused

Answer 5

yes, it is false