PLEASE HELP WITH THIS "EASY" STATS PROOF

[scresthop123]

P(A/B)=P(A)
P(B/A)=P(B)
P(A intersection B) = P(A)P(B)

IF any one of these equalities hold, A and B are independent. Show that if any of these equalities hold, the other two also hold.

Thank you.

 

[Deleted member 4993]

P(A/B)=P(A)
P(B/A)=P(B)
P(A intersection B) = P(A)P(B)

IF any one of these equalities hold, A and B are independent. Show that if any of these equalities hold, the other two also hold.

Thank you.

Please share your work/thoughts with us, indicating exactly where you are stuck - so that we know where to begin to help you.

 

[scresthop123]

I am not sure how to prove these.

Is it something so simple as P(A/B) P(B) = P(A)P(B) .... P(A/B) = P(A) that is one?