Heads or tails
The local library, a union shop, has a promotion open, and two women with equal seniority qualified for it. In a union shop seniority is basically all that matters. The boss has decided he's going to determine who he promotes by the toss of a coin. If I were either of these women, I'd quit. I won't have my fitness for work determined by that sort of ambiguity, nor would I allow my value to be degraded by it. That coin-toss would reduce your efforts at work to a meaningless waste of effort. In a professional world, it's hardly professional.