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Compromise to Brian's post. Wrap the striker in a couple layers of saran wrap plastic or tin foil and place in matchbox. Also if you try to keep enough matches packed in their case, you won't get shifting and friction so much. In Canada it is extremely difficult to find strike anywhere matches.
Edit - the concept of safety matches is that they only work on a designated striker. It is a chemical reaction specific to both the match and striking surface that starts the reaction, hence, unless strike-anywhere matches are specifically procurred, you have to use the striker surface.
My dad showed me 2 different ways of lighting strike anywhere matches.
If your wearing jeans, bend your knee and bring your leg up so that your jeans
are tight. Strike match by drawing match from your thigh towards your knee.
Do it quickly and smooth.
The other method...you can ruin the match though, is to hold it in your right fist
and stick your thumb nail into the head and flick your thumb nail down.
You usually only get 2 tries max before the tip is ruined, but the match is still good.
When I practice them, I have a pretty high success rate.