2/12
Yes, you can roll one die (of a two dice set) at a time. Statistically, since they are unrelated, even if rolled together, it does not matter if you roll one or two at a time.
P(A=4) = 1/6 P(A+B=4) = 3/36 = 1/12 I would go with one die.
one third
Pr(You roll a four in 60 rolls) = 1 - Prob(No fours in 60 rolls) = 1 - [Prob(Not 4 in a roll)]60 = 1 - (5/6)60 = 0.999982 ie 99.9982 per cent