java.util.Random digging a bit deep

I was reading Data Structures and Algorithms in Java book and I came across the following question that I would like to get help with:

Suppose you are given an array, A, containing 100 integers that were generated using the method r.nextInt(10), where r is an object of type java.util.Random. Let x denote the product of the integers in A. There is a single number that x will equal with probability at least 0.99. What is that number and what is a formula describing the probability that x is equal to that number?

I think x is equal to zero; as most probably 0 will be generated. However, that's just a guess. I wasn't able to find the formula. The java documentation doesn't specify the randomization equation and I wasn't able to find any related topics either here or after searching using Google.

I would like to get some help with the probability formula please. Thanks in advance.