Under the direction of the court the clerk shall conduct the public drawing of jurors for the panel by shaking the box to mix the named or numbered pieces. The clerk shall then draw as many names or numbers as are ordered by the court to fill the jury panel. A random selection of the jury panel by computer may be used in place of the public drawing of names. If the name or number of a person is drawn or selected and the person is deceased, unqualified, disqualified, or the person’s attendance cannot be obtained within a reasonable time or may involve a large and unnecessary expense, and the fact appears to the satisfaction of the court through the use of questionnaires or otherwise, the court may reject the name of that person and direct that the name or number of another be drawn.