When arrogance has come, then comes shame: but with the humble people comes wisdom. And in the Hebrew the word wisdom is accompanying the word humble. With the humble comes wisdom.
The word humble literally means to be brought down low. So we have an arrogant person and we have a person who has gone through circumstances and situations where he or she is brought down low. God has dealt with them and brought them lowly.
And the end result of being brought down low is wisdom. Wisdom does not come with arrogance. Wisdom comes with being brough low because it is an experience that every person must have and every person must experience. You do not have wisdom unless you have been dealt with.