The primary advantage of the probability forecast is that it can be used to illustrate the likelihood of an event occuring. The public understands probability more than forecasters think. Most individuals have developed probability thresholds concerning decisions such as whether or not to carry an umbrella, to have a picnic, or go on a hike.
Probability is the same as chance.
The probability at a point is the same as the chance of the event at a point. The average point probability over the forecast area is used in most zone forecasts. Using average point probability is difficult if the probability varies drastically over the forecast area. This is particularly problematic in areas of commplex terrain. Average point probability is not the same as areal probability.