I half-jokingly tell people that if they get their forecast from the BBC (via the Met), they should expect the inverse weather. I wonder if the BBC has checked the quality of the forecasts based on what actually happens? I use AccuWeather and the Aix Weather Widget (for Android) because they're nearly always right (where I live, at least) - and gives me much more useful information. For example, I can't translate the…
I actually learned that the rain percentage is not the percentage chance that it will rain but is in fact the percentage of the coverage area that they will expect to get rain. So 50% rain meaning no rain at all or rain for the whole day is entirely reasonable.
(equivalently, you could say it's the % chance that it will be raining if you choose a given instant X in the interval).
I've never read an official interpretation but that seems to fit reality (where I live) quite well.