Can someone show me how to set this up? Asking for help on how to work this, not asking for the answer.
Question: Assume that P(A) = 0.5, P(A∩C) = 0.18, P(C) = 0.4, P(B) = 0.4, P(A∩B∩C) = 0.08, P(B∩C) = 0.16, and P(A∩B) = 0.21. Calculate the following probabilities:
b. P(A'∩(B∪C))
Observe that $$P(A' \cap (B \cup C)) = P(A' \cap B) + P(A' \cap C) - P(A' \cap B \cap C)$$ The three terms on the RHS can be computed as follows: $$P(A' \cap B) = P(B) - P(A \cap B)$$ $$P(A' \cap C) = P(C) - P(A \cap C)$$ $$P(A' \cap B \cap C) = P(B \cap C) - P(A \cap B \cap C)$$