this post was submitted on 22 Oct 2022
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Yes and no (to the bonus question)
Edit: ignore this. I got it completely wrong.
Why? I think you're right.
I think you're right.
Explanation
Each robot only knows their own state, but they've been asked only about both. So no robot can say "yes". If a robot needs a new battery, it must say "maybe", because it knows one or more robots needs a new battery. But if it doesn't need a new battery, it must say "no", because it is confident that it's not both that need new batteries.I found the second robot's answer helpful in understanding the situation, but it's logically not needed to answer the question.