Thread: Proof - Independence

Show that if events E and F are independent, then the events E and not F are also independent.

Pr(E|F) = Pr(E|not F)

Originally Posted by DINOCALC09

Show that if events E and F are independent, then the events E and not F are also independent.

Pr(E|F) = Pr(E|not F)

E and F are independent means:

P(E and F) = P(E)*P(F)

and you want to use that fact to show that it will also be true that

P(E and ~F) = P(E)*P(~F)

ok, so now you can get to doing that.