Here are three:

1. Analytic and probabilistic methods in number theory: proceedings of the ...
 By Fritz Schweiger, E. Manstavičius 
 (This is a bit specialized but good.)

2. [Probabilistic Number Theory][1] by Wouter Duivesteijn

3. [PROBABILISTIC IDEAS AND METHODS IN ANALYTIC
NUMBER THEORY][2] (This is from our most reputed MO-ist Pete L. Clark)


  [1]: http://home.a-eskwadraat.nl/~wouter/b_thesis.pdf
  [2]: http://alpha.math.uga.edu/~pete/probnumtalk1.pdf