Hi everybody

I'm a newbie and electronics is just a new hobby, sorry for my ignorance.
I just bought my first oscilloscope, a 15MHz analogue Trio CS-1560A II, but it came without probes.
I've searched on the forum for probes recommended by people, and found the following post:
I'm surprised no one pointed out that probes aren't really interchangable between instruments. Each probe family is designed to operate with a particular scope input capacitance. For instance, my ancient HP 54542C (500MHz, 4Gs/s) has an input capacitance of ~7pF. The probes for this particular scope have 5 to 9pF trimmer caps for HF compensation. If I were to use a probe that had say 15 to 35pF trimming for HF compensation, it wouldn't compensate correctly for high frequency signals on my scope.
The point is, when ordering probes, always check to see if the compensation range (in picofarads) will work with your scope's input capacitance. Otherwise you will have ringing or too slow of risetimes when using that probe.
Another consideration is bandwidth. The total system bandwidth is given by the attached formula. For example, a 500MHz probe and a 500MHz scope do not give 500MHz system bandwidth, you actually get ~350MHz system bandwidth. So it's always lower than you would expect. This is why its advantageous to use higher bandwidth probes: they let you access more total system bandwidth and get closer to your osciloscope's actual bandwidth.
Now most of this isn't very important for low frequency instruments like the AD2, but its good to know for the future when you use standard equipment in the workplace or decide to upgrade your own home lab.
This post was very helpful because now I know I should buy probes with more frequency than the frequency of my oscilloscope.
But I don't know what trimmer caps should the probes have for HF compensation.
On the instruction manual of my oscilloscope it says "Input Capacitance 22pF+-3pF", what's the correct compensation range of the probes that I should buy for my oscilloscope?
Is there any equation I should use to get these values?
Besides frequency and HF compensation, is there anything else I should look for when buying probes?
Thank you.