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# Molly Mae

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1. ## Green and Yellow hats

I figured it would be a "toughie" because hat puzzles tend to have counterintuitive answers. Now that we've become accustomed to that, we may be looking for an answer that isn't there given the new constraints.
2. ## Green and Yellow hats

This is basically my stumbling block. Any strategy you could come up with could be countered by the warden. If you could anticipate that the warden would do all in his power to flummox your strategy, you could (as a logical individual) decide to go completely against the strategy. That, however, doesn't guarantee any successes either.

4. ## Born on a Wednesday

This is absolutely something I should have been able to reason myself into. D'oh.
5. ## Born on a Wednesday

In that case, a revised #2:
6. ## Born on a Wednesday

Yeah, I'm pretty sure the above can't be right.
7. ## Born on a Wednesday

I'm hoping it's something from a probability perspective. I assume an equal likelihood of being born on any day of the week. I don't know if I need to state that assumption. As I mentioned before, I'm not terribly great at this.
8. ## Born on a Wednesday

In that case:
9. ## Jelly beans join the clean plate club

I lied. I can show you two numbers whose average is even that cannot be reduced to their average (and thus not reduced to 0) without a third plate. The example of {4,8}. These two alone cannot be reduced to 0. As soon as you add in a third plate, regardless of the number on that plate, you can reduce one of them to 0. That is the cornerstone of my reasoning, but I'm not certain I can express it.
10. ## Jelly beans join the clean plate club

I sure don't! But I also couldn't find an easy way to express the relationship between (1) the average of two numbers being even and (2) the third plate. That's when I disappeared down the rabbit hole of the difference between a and b being divisible by 4. I think we're in the same boat, though. We just can't come up with a way to express what's in our heads. Whenever I'm in a situation like this (which happens pretty often), I sit back and watch the rest of you all solve where I have struggled. Godspeed, my friends! Should anything pop into my head, I will be certain to pos

(1) (2)
12. ## Jelly beans join the clean plate club

I can show you by counterexamples that they don't always land at the average (if, for example, their average is odd [say 4, 6], you'll never be able to double to the average). That's why I considered evaluating the difference between two as being divisible by 4 (instead of 2). Perhaps you'll succeed where I have failed.

My guess:

16. ## Whodunit?

I think if we're getting into the analysis of the logical AND, we could say that any of them are telling falsehoods. The trees, for example, could have been pear trees instead, so the entire statement would evaluate false. I doubt that's the intention of the puzzle.
17. ## I'm Back

I never participated in the Brian Dennis series, but I do remember them. Welcome back!
18. ## Whodunit?

For some reason, my spoilers are disappearing. Is that normal? Anyway, I don't think this deserves a spoiler. Lying can refer to placing oneself in a horizontal position, but it is also the act of being untruthful. Incidentally, I can find no evidence that "lieing" is an English word. With that in mind, you could say that Dick has a brother who is currently reclining and nobody murdered anybody in this situation.
19. ## Cubicle Stack #2

Oh, jeez, you're right. I dunced that pretty good.

23. ## Waiting, again

Peter's game:
24. ## Waiting, again

Paul's game: Peter's game: Clarifying non-spoiler question: Does Peter let you roll all 6 dice for free (or \$1) the first roll? Or must you pay \$6 to roll all 6 dice the first time?
25. ## Cubicle Stack #2

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