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Why don't you ask to go see a movie.
I understand. Lots of people are seriously injured while bowling :-)If you are just worried that you will suck at bowling, just say "ok, but I suck at bowling. I'll be lucky to break 80." If you really don't enjoy bowling, say "Bowling really isn't my thing. Could we... instead."
Bowling is badass, just tell him you're nervous and have fun