Is a broken clock really correct twice a day?

There’s a saying to that effect, primarily used to describe people that are perpetually wrong occasionally getting something right.

But is the saying true?

- Consider an electrical digital clock that doesn’t have power to it. It’s dark – it’s wrong 100% of the time.

- Or what about an analog clock (battery operated) where the battery is wearing down. It gets slower and slower, losing a second or two every minute, or losing a minute every hour. It’s consistently behind.

Does the “clock is right twice a day” adage really hold up?