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Given a Coxeter system of large type we prove a non--commutative centrallimit theorem: After normalisation with the square root of n the characteristicfunction of the set of the first n generators tends in distribution to Wignerssemi--circle law.  If one chooses the group presentation at random, now admitting a certainamount of commutation among the generators, the distributional limit will bethe q--deformed semi--circle law, $1\leq q \leq 1$, almost surely.

CENTRAL LIMIT THEOREMS FOR COXETER SYSTEMS AND ARTIN SYSTEMS OF EXTRA LARGE TYPE