This question inspired by this post..
‘A clock is right twice a day’ and ‘two stones one bird’
Lewis Carol noted that a clock that doesn’t work at all is right twice a day whereas a clock that loses a minute a day is right every 1.97 years, and by this calculation the broken clock is the better value.
But of course, if we know the clock loses a minute a day, you could derive the current time based on how long ago the clock was set to the correct time, or you could just throw it forward one minute at the end of every day and reset it that way with no reference. The broken clock is just completely useless as a timepiece, though. I think lewis carol was wrong.
The clock on my phone is right at least twice a day and it seems to be working fine.