Statistics: Relation between two variables

Let P(E)= 0.25 and P(F)= 0.45

Find P(E and F) if P(E or F) = 0.6

Find P(E and F) if E and F are mutually exculsive.

Find P(Fc)

I would appreciate anyone's assistance to the above questions. Please provide tips if I'm off track. I worked the problems and came up with the following solutions:

P(E and F) = .1 "using the general addition rule".

P(E or F) = 0.25 + 0.45 = .7 "using the rule for disjoint events"

P(Fc) = 1 - 0.25 = 0.75 "using the complement rule"