I'm seconding Daruosha's answer, just trying to paraphrase it:
Your DSO will always accumulate multiple waveform scans in its screen buffer and display them together. With graded intensity displays, a pixel shown on the screen will become brighter if it has been scanned multiple times; with the simple non-graded displays, all pixels which have been scanned at least once will light up in the same intensity. In either case, the scope's persistence setting will determine how long the display "remembers" a scanned pixel, before letting it fade away or switching it back to black entirely.
Hence, even with a slow screen refresh rate you will see rare event traces light up (dimly in case of a graded intensity display) if the persistence setting is adequate. The screen refresh rate is not relevant for seeing rare events. It has other benefits: A high screen refresh rate will make for a smoother interactive handling of the scope, and will make it more pleasant to visually follow changes of the waveform over time (say on a 1..5 Hz timescale) without getting a "jerky" picture.
Of course, when you are looking for really rare events, you should set a suitable trigger to freeze the rare waveform when it occurs. That's why you are using a DSO and not an analog scope, right?