From a certain A-theory of time to a countably infinite fair lottery
The past has to be finite.
The future has to be infinite.
The A-theory of time is true.
Then contingent reality appears to generate a countably infinite fair lottery: Simply let N be the number of days since the beginning of time, rounded down. Surely no one day is more likely to be objectively present than another, so N is the outcome of a fair lottery with tickets numbered 0,1,2,.... But such lotteries are well known to lead to many paradoxes (e..g, see chapter 4 of Infinity, Causation and Paradox). Thus, one shouldn't hold all of (1)-(3).
Not every A-theorist has this problem: only those who accept (1) and (2) as well.