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If they run calculations constantly, wouldn’t the chance of precipitation go toward zero or 100% the as you move toward or away from the present?

When I go to the weather app it should show close to 0% or close to 100% chance of precipitation for at least the next immediate hour or so?

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That % is the ” probability of precipitation,” and it’s calculated by multipling the confidence in rain by the % of the area where it will rain. So even if we were 100% certain that it’s raining in a city, there would be a certain percentage of land that is receiving rain at that moment, so the probability of precipitation would be less than 100%