Three things have to line up. The sun has to be active enough: NOAA's Kp forecast says how disturbed Earth's magnetic field will be tonight, and each place needs a certain Kp before the aurora reaches it, from Kp 1 in Abisko to Kp 6 in Stockholm. The sky has to be clear: SMHI's forecast gives the cloud cover hour by hour, and a clear hour is one with at most three eighths of the sky covered. And it has to be dark: from about an hour after sunset to an hour before sunrise.
A good chance means enough Kp and at least three clear hours; some chance means one of them is short. "Aurora model now" is NOAA's OVATION model, the probability of aurora overhead at the place for the next hour or so. All of it is a forecast: storms arrive early or late, and clouds move.