A broken clock is right twice a day.
The meaning of the proverb:
It means that a person can sometimes be right, by chance, for the wrong reason. A working clock passes through all 12 hours (and all 60 minutes of each hour) exactly twice in a day-- this is what makes it an accurate timepiece. The broken clock is right twice a day because its hands are always stuck at the same time, not because it is actually tracking the time.
Basically, if you always give the same answer, eventually a question will come along for which that happens to be the right answer. The expression is meant to point out that being right occasionally is no proof that someone has good judgment on that topic.
Real world example: There are people in finance who are always predicting that the market will crash. In 2008, there was a market crash. This doesn't mean that the people who predict a market crash every single month had actually foreseen the specific signs of the 2008 crash.
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