An isolated passing shower is possible Tuesday morning and early afternoon. Otherwise, the day will start mainly dry.
The atmosphere will also be unstable enough to support a thunderstorm or two.
Rain totals will range from 0.1" to 0.75" along the coast and inland. Totals will depend heavily on whether you see a downpour/thunderstorm or not.
Snow levels will start off at 5,000 feet on Tuesday. They will then drop to 2,000 to 3,000 feet Tuesday night into Wednesday. Isolated areas could briefly see snow levels as low as 1,000 feet.
Given a saturated atmosphere, temperatures generally need to be around 35°F to see snowfall. In other words, the chances for snow along the coast or inland are slim to none. Temperatures will be too warm.
Speaking of temperatures, it's going to be cold Wednesday and Thursday nights! Overnight lows inland will drop to 32-35°F. Coastal areas will be 38-42°F.
I've posted a forecast snow accumulation map below. You can see that some of the higher peaks to the east like Cuyamaca and Laguna could receive 4-8". Granted, the ground is fairly warm, so a lot of it will initially melt.