Using the general formula for P(A U B U C), prove the following:
If A, B and C are independent events, then
P(A) + P(A^c) * P(B) + P(A^c)*P(B^c)*P(C)
I see your reply to Ivy implies mutual independence.
Recall that if are independent then so are .
It is simply a matter of set theory:
That is all of with the part of left out with the part of left out of the second term.