  If we adopt a non-reductionist account of chance, this line of resistance is quite implausible. For there is nothing inconsistent on such views about a situation where the statistical properties of the occurrent sequence of outcomes and the chance diverge arbitrarily far, and it seems that such possibilities are just as close in relevant respects as those where the occurrent outcome statistics reflect the chances. In particular, as the all-heads sequence has some chance of coming to pass, there is (by BCP) a physical possibility sharing history and laws with our world in which all-heads occurs. This looks like a legitimately close possibility to our own.