  It is possible for a fair coin—i.e., such that the chances of heads and tails are equal—to be tossed infinitely many times, and to land heads on every toss. An infinite sequence of heads has, on the standard probability calculus, zero chance of occurring. (Indeed, it has zero chance even on most non-standard views of probability: Williamson 2007.) Nevertheless if such a sequence of outcomes did occur, it would have happened by chance—assuming, plausibly, that if each individual outcome happens by chance, the complex event composed by all of them also happens by chance. But in that case we would have an outcome that happened by chance and yet the obvious suitable sequence of outcomes is not KML-random. This kind of example exploits the fact that while random sequences are a measure one set of possible outcome sequences of any process, chancy or otherwise, measure one does not mean every.