Given events E, F where Pr(E) = 0.17, Pr(F) = 0.13, and Pr(F ∩ E′) = 0.11, find the following probabilities. (a) E ∩ F (b) E ∩ F′ (c) E′ ∩ F′

Question

I am unsure about how to calculate a and c

Answer 1

Draw a Venn diagram!

Since P(F) = .13 and P(F ∩ E') =.11, P(F ∩ E) = .02 and P(E ∩ F') = .15

P(E' ∩ F') = 1 - P(F ∪ E) = 1 -.28 = .72