 Authors who try to derive the radiation arrow from probabilistic considerations sometimes argue that coherently converging waves do not occur because such waves would require a radically improbable coordinated behavior of incoming waves (Earman 2011; see also Atkinson 2006). But this line of argument is in danger of committing what Price has called “the temporal double-standard fallacy” (Price 1997). From an acausal perspective the coordinated behavior of outgoing waves in the future of a radiating source should appear to be no less improbable than coordinated behavior of incoming waves in the past of the source. Thus, probabilistic accounts that deny a fundamental causal asymmetry need to be careful to avoid probabilistic arguments for the asymmetry ultimately driven by causal intuitions and presumably have to be content with positing the initial randomness assumption as a fundamental de facto asymmetry that cannot be further justified.