According to Google:
Using a 50% probability of rain as an example, it does not mean (1) that 50% of the area will be covered by precipitation at given time in the given forecast area or (2) that you will be seeing precipitation 50% of the time in the given forecast area for the given forecast time period.
Let's look at an example of what the probability does mean. If a forecast for a given county says that there is a 50% chance of rain this afternoon, then there is a 50% chance of rain at any point in the county from noon to 6 p.m. local time.
Now , back to my discussion of how many angels dance on the head of a pin.
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"It doesn't cost "nuttin", to be nice". 
MOM
I just want to do the right thing! Uncle Joe, (my hero).