1 Chron. 24, 25

David used the casting of lots to determine the order of service for Levite families who ministered unto the Lord. The lot is cast into the lap, but its every decision is from the Lord. [Pr. 16:33 CSB]

The Disciples cast lots to replace Judas. {Acts 1:26]

All football games begin with a flip of the coin.

Disclaimer: I am not sanctioning gambling hereby. I am saying that lots can solve disputes fairly. Try it with your children.