In reply to Josh.

1. Pi is definitely irrational, but there are irrational numbers that have patterns. "Irrational" means the decimal expansion is non-terminating and non-repeating. An example that has a pattern is
0.1011011101111011111...
The pattern is groups of ones that repeat 1, 2, 3, 4, ... times. The pattern never repeats, so the number is irrational.
2. Yes, it is possible. It is conjectured that pi is an example of a "normal number," but until the conjecture is proved, no one can be certain.