A few were chosen through prophecy (such as Saul and David, through Samuel's prophecy). A few chose themselves (Athaliah, in Judah; plus the kings of the Ten Tribes). And one king was a combination of these two methods (Jeroboam, first king of the Ten Tribes, was promised a governorship by Achiyah the Prophet, but he improperly assumed full royalty). See also:
They were kings ... political and military heads of Israel.
Your question should be for what are the Children of Israel chosen for.
The kings were not chosen. The succession was generally hereditary with the occasional usurper.
Israel wanted a king , and asked the prophet and judge Samuel to find one for them. So Saul was chosen , against the wishes of Samuel. They wanted a king mainly as the people living near them had kings.
they were not kings as Saul was their first king.
bloodline
john Locke did not believe government should take away the rights of life, liberty, and property.
There were many bad kings in Israel, Jehu was the worst.
by a game of basketball
The first kings of Judah and Israel were Saul, David, Solomon. They ruled from 1020 BCE to 931 BCE.
Israel had three famous kings, David, saul and Solomon.
When David was chosen as the king by Samuel, Saul was king then.