In general, no they are not universal, but...
Most use BNC connectors, and if you match the bandwidth of your scope (10MHz) to the bandwidth of the probes *AND* the probes have an adjustment on them for calibration, you'll be OK.
Most scopes have a similar input resistance and typically you will have a x10 probe. These have a resistor and a capacitor in them where the capacitor is adjustable to allow you to effectively null out the effect the RC of the probe has on the rise time of the displayed signal. (You'll find the scope has a calibration output to allow you to adjust the probe.
So, in practice, if it matches, and it's adjustable, it will probably work. I have some expensive probes (cost more than my scope) and some cheap ones (cost less than a beer) and for most low frequency purposes they're almost indistinguishable (which is NOT to say they are indistinguishable)
I've just checked one of those "PHILLIPS PM 3200 OSCILLOSCOPE 0-10MHZ" scopes and they are 1M in parallel with 30pF, which is pretty standard and you should have no problems with any probe that's pretty normal.
This may also
help. And
this too.