 #1
caffeine
Probability selfstudy 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?
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?
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