I don't always carry a FAK, but to sporting events and the like, I'll pack a small ziplock with a few nitrile gloves, a few sterile guaze pads and some bandaids.
I EDC some hand sanitizer and often carry some santizing wipes as well.
I really need to include a CPR Barrier just in my EDC.
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Experience is a hard teacher because she gives the test first, the lesson afterwards.