Probabilistic models are widely used to analyze embedded, networked, and more recently biological systems. Existing analysis techniques are limited to finite-state models and suffer from the state explosion problem. We propose predicate abstraction for probabilistic models to tackle the state explosion problem and admit infinite-state models. We have implemented PASS, a predicate abstraction model checker for probabilistic models supporting unbounded integer and real arithmetic, as well as bit vectors. We demonstrate the feasibility of our approach by verifying properties of the Bounded Retransmission Protocol for any file length and any number of retransmissions. To the best of our knowledge, this is the first time that properties of probabilistic infinite-state models have been verified at this level of automation.