1996 Buick Regal 3.8L, 1 out of 30 times car will not start! The car has a new battery and starter and the resistor key is good. All lights working even when car won't start (starter does not turn over). Could a faulty V.A.T.S. computer cause this occasional occurance. no wires seem loose. Again 1 out of 30 times......very odd! Any ideas what could cause this?

See if the security lites stays on when it won't crank, if so the vats is the area of the problem, after that check for 12v to starter solenoid when not starting, if good, starter solenoid is bad.