 Monton 2011 defends Pascal’s Wager against this line of objection. He argues that an atheist or agnostic has more than one opportunity to follow a mixed strategy. Returning to the first example of one, suppose that the fair coin lands tails. Monton’s thought is that your expected utility now changes; it is no longer infinite, but rather that of an atheist or agnostic who has no prospect of the infinite reward for wagering for God. You are back to where you started. But since it was rational for you to follow the mixed strategy the first time, it is rational for you to follow it again now—that is, to toss the coin again. And if it lands tails again, it is rational for you to toss the coin again … With probability 1, the coin will land heads eventually, and from that point on you will wager for God. Similar reasoning applies to wagering for God just in case an n-sided die lands 1 (say): with probability 1 the die will eventually land 1, so if you repeatedly base your mixed strategy on the die, with probability 1 you will wind up wagering for God after a finite number of rolls. Robertson 2012 replies that not all such mixed strategies are (probabilistically) guaranteed to lead to your wagering for God in the long run: not ones in which the probability of wagering for God decreases sufficiently fast on successive trials. Think, for example, of rolling a 4-sided die, then a 9-sided die, and in general an \((n+1)^2\)-sided die on the \(n\)th trial …, a strategy for which the probability that you will eventually wager for God is only 1/2, as Robertson shows. However, Easwaran and Monton 2012 counter-reply that with a continuum of times at which the dice can be rolled, the sequence of rolls that Robertson proposes can be completed in an arbitrarily short period of time. In that case, what should you do next? By Monton’s argument, it seems you should roll a die again. Easwaran and Monton prove that if there are uncountably many times at which one implements a mixed strategy with non-zero probability of wagering for God, then with probability 1, one ends up wagering for God at one of these times. (And they assume, as is standard, that once one wagers for God there is no going back.) They concede that imagining uncountably rolls of a die, say, involves an idealization that is surely not physically realizable. But they maintain that you should act in the way that an idealized version of yourself would eventually act, one who can realize the rolls as described—that is, wager for God outright.