I am measuring huge 50Hz oscillations on my oscilloscope, but I am not entirely sure the probe is generating those by behaving like an antenna (an ADC at the same point gives stable values but it's not sampling fast enough to give a definitive answer).
Would adding a capacitor in parallel to the probe (tip and gnd) filter out that noise (22nF in parallel to 1Mohm in my case)?
I will answer that question as soon as I test it (for the sake of others too, it appears there are not a lot of answers to that question online, and no good one), but I would like an intuitive or step-by-step description of what is or would be happening.