Probability self-study question (please see attached png for diagram). In the following diagram, A, C, and F have a 50% chance for success. B, D, and E have a 70% chance for success. What is the overall probability for success? Here's what I've done: [tex] A \cap \left[ C \cup \left( E \cap \left[ B \cup D \right] \right) \right] \cap F [/tex] plugging numbers, [tex] .5 \times \left[ .5 + \left( .7 \times \left[ .7 + .7 \right] \right) \right] \times .5 [/tex] My calculator says .37. The book says .20. Where did I go wrong?