Random selection is necessary to create stable meritocratic institutions

There is an interesting example of random selection of leadership from the Bible when the apostles replaced Judas. The criteria were agreed upon and then lots drawn.

Acts 1:21-26 Therefore it is necessary to choose one of the men who have been with us the whole time the Lord Jesus was living among us, beginning from John’s baptism to the time when Jesus was taken up from us. For one of these must become a witness with us of his resurrection.” So they nominated two men: Joseph called Barsabbas (also known as Justus) and Matthias. Then they prayed, “Lord, you know everyone’s heart. Show us which of these two you have chosen to take over this apostolic ministry, which Judas left to go where he belongs.” Then they cast lots, and the lot fell to Matthias; so he was added to the eleven apostles.

Can you imagine this practice replacing the Papal conclave? Or, pastor selection at your favorite Protestant group?

Interesting point! One interpretation of this passage suggests Peter is actually rushing this appointment. In typical Peter fashion, he makes choices before fulling thinking them through (this seems to change post Pentecost). Matthias is never mentioned again in the Bible; we aren't sure what becomes of him. Canonically, he is the 12th but traditionally, it is Paul who is sometimes considered the true 12th disciple (you can find this depicted in EO iconography).

So, the random selection mentioned here may have actually been a fault of Peter's and not something the Bible is endorsing as a means to choose leadership; possibly quite the opposite in this case.