I would go to http://firesteel.com/firesteel-miniature and buy a few of these. at $1 each they will light a lot of tinder. Add one to your kit, ot two. They are smaller than your strike anywhere matches. I keep one in my old matchsafe with my matches and it is just one more tiny insurance policy if I ever really need a fire in an emergency.
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No, I am not Bear Grylls, but I stayed at a Holiday Inn Express last night and Bear was there too!