SID registers ($d400–$d41c) have their own page with the random-number details:
The SID & C64 Random Numbers. Memory banking is controlled by the 6510 port at $01 (LORAM/HIRAM/CHAREN), so $a000–$bfff, $d000–$dfff and $e000–$ffff can each show ROM, RAM, or I/O.