I guessed right on the Philosophy (both the questions in my previous post were True because in a completely random Environment any Agent behavior is considered Rational -- great to find that out during the Test, eh?), tortured the Logic to death in the correct way, and stumbled in the right direction through the Conditional Independence exercise. Hard to believe but apparently True: What's the Probability of that?
As an after-the-fact proof, here's the Exam and my notes with the answers I decided upon...
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