A privilege is something that you are allowed to do. A right is something you have ability to do at all times.
We Christians have such a right and privilege - to become children of God.
We read in, John 1:12;
“But to all who believed Him and accepted Him, He gave the right to become children of God.”
The Greek word for “right” in the verse above is "eksousia" (from ek, “out from,” which intensifies "eimi", to be, being as a right or privilege) - authority, conferred power; delegated empowerment ("authorization"), operating in a designated jurisdiction.
In the New Testament, eksousia ("delegated power") refers to the authority God gives to His saints authorizing them to act to the extent they are guided by faith (His revealed Word).
Anyone who became a child of the Heavenly Father enjoys the greatest privilege which He gives in His Son, Christ Jesus. Those who accept Jesus Christ as the Lord and Savior have, through His Blood, a right to this sonship.
By His sacrifice this blessing was purchased; and the fullest promises of God confirm it to all who believe. And those who are engrafted in the heavenly family have the highest honor and dignity in eternity.
We have such a privilege and right to become the children of God through our Lord Jesus. Let’s live as children of Light as the apostle Paul exhorts us in Ephesians 5:8;
“For you were once darkness, but now you are light in the Lord. Live as children of light.”