  We should not let even the partial success of best systems analysis in preserving RCT sway us. The Humean account of chance is perfectly compatible with the existence of bias and with non-independent sequences of trials; RCT is not. The problem just mentioned arises even in the best circumstances for RCT, where there is at least one actual unbiased fair coin sequence. The existence of such a problem could have been predicted. The best systems account deviates from pure frequentism precisely in trying to accommodate the single-case process intuitions that, as we saw in  §1,  characterise chance. Every success in this direction brings this broadly product conception of chance closer to a process conception, and will therefore be a potential opportunity for counterexamples to RCT to emerge.