In fact, most of the people who commit mistakes are willing to correct it, if pointed out. (I am sorry to point out a mistake in the title of this thread; the second 'are' is not necessary there.)
Animals do make mistakes very often. They mistakenly approach something thinking it as a prey. Very often they recognise the mistake while consuming. Like this several examples can be pointed out.
Other animals do not even have the concept of mistake.
"If you are killed in action, you go to Heaven. If you win, you rule this Earth (as beautiful as Heaven). That is why, O son of Kunti, take a firm resolve and fight!"-- Shrimad Bhagwad Gita
Animals do it without any consciousness. They do not understand what they are doing. So they will repeat it number of times.
Thoughts exchanged is knowledge gained.
"Life is easier when you enjoy what you do"
There is nothing serious about making mistakes. It happens with everyone. What is important is learn lessons from it and not to repeat it. It means we should seriously analyse the reasons of our mistakes and understand the root cause as why we committed them. This is essential otherwise we might repeat them unintentionally.
Knowledge is power.
When we do something there are chances for committing some mistakes. For that reason, we can't sit lazily without doing anything. So we all should know how to correct our mistakes and should not be in the habit of doing mistakes always.