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So, I'm a 17 year old high school student from one of the countries participating in the US Visa Waiver Program, and I'm planning to go to the US to participate in a summer math program (unrelated to crypto, security or anything else like that).
The thing is, my only laptop has Linux installed with full disk encryption using LUKS, so turning it on first reveals GRUB, and then the passphrase prompt. I would imagine that this could seem rather suspicious to a border official, which (judging from all the horror stories I've heard about US border officials) could lead to a detention, extended questioning, confiscation of the laptop, etc etc. The laptop doesn't really have anything that illegal, but I wouldn't expect them to take my word for it.
I realise that my best course of action would be to just leave my laptop at home, but that would be very inconvenient. I could also replace the hard drive temporarily and just install plain Windows, but I don't really have a spare hard drive.
My question, therefore, would be: how likely is it that anyone at the US border will actually want to examine my laptop, and, if they happen to find that it runs Linux and is completely encrypted, how screwed am I?