The Twelve Apostles gather in holy vestments for what is known as the Arm of the Lord. They take turns arm wrestling until one reigns as champion. This is followed by a chess championship, round robin-style, known as the Mind of God. Finally, they hold a pole vaulting exercise called the Leap of Faith. Whoever scores best among the three events is declared to be the one chosen by God and becomes the next prophet.
Actually, there is a nice, orderly process.
https://www.deseretnews.com/article/900006782/how-the-lds-church-chooses-its-new-president.html
Interestingly, succession is one of my favorite topics, for while it is orderly today, when our first prophet was martyred, there was a great deal of confusion and some schism. I love studying the schismatic groups and the routes they followed. However, only the Salt Lake City-based church has a substantial following. Next would be the Community of Christ, who believed our first prophet’s son, Joseph Smith III, should succeed his father. They have followed a very different path to the present day and hardly resemble us in any fashion at this point. While my church is approaching 16 million members, theirs only has roughly 250,000.