If your boss makes a mistake, should you point it out in private? The answer is NO, not even in private, unless you have evidence that something illegal is going on. Here are the reasons.
(1) It is not part of your job description to point out your boss’ work mistake. Your job is to do your job well, not to watch how your boss does his/her job.
(2) Nobody asks your opinion. It’s a different story if your advice is sought for.
(3) Watch out the subtle difference between offering your advice in the name of work and showing off to your boss how smart you are. Your advice in the name of work could be perceived as a mere show-off, depending on whose ears your words go into.
(4) At work and at home, always keep in mind
–> nobody cares how smart you are (nobody but your mom, dad occasionally);
–> no normal person likes to be shown how stupid he/she is;
–> your boss is like all of us.
If, in case, you have a hard time suppressing the urge to show off your trophies, keep a book of high achievers on your desk. When you flip through their achievements, you will realize how insignificant yours are. And you should blush with shame for even thinking about it.