Oscilloscope probe compabitibility
Basic probes generally are interchangeable

Basic probes means probes with BNC connectors.  Specialist probes, with extra pins and built-in amplifiers (such as differential probes or current probes) are generally not compatible with other brands of scope.

One thing to watch for is the input capacitance of the scope.  Capacitance can vary between typically 10 and 15pF. Decent quality probes are adjustable, but not all of them can adjust far enough for all scopes.  If you don't get them adjusted right, high frequencies will be distorted, and square waves may be slightly rounded or may ring.