Is this a new unit? If it is take it back..If it's used and you can't take it back then you can do some basic troublshooting.
Do you have a multimeter? Are you handy with basic electronics and troubleshooting? Swap speakers if you can.
Disconnect the cable and check continuity pin to pin....make sure that's not broken....if it is then either open up the connectors and rewire it with new wire or buy a replacement. If the cable is fine then you might have a problem with the sub/amp box. Connect a meter at the amp box end and set the meter on AC volts 25-50v scale and see if you are getting anything out of the amp. Is there a schematic in a manual? If there is use that or figure out which pins go to the speaker pairs....

Event Tria 2.1

djmukilteo - THANKS! for your reply.
The system is not new, it was last manufactured in the early 2000's. The model was discontinued around 2001 or 2002 I believe. I do not have a user's/owner's manual for it. I've isolated the issue as being a problem with the speaker cable by swapping speakers (the 'buzz' follows the cable - no issues in the other speaker with the other cable). The Tria system speaker cables supply both audio and power to each of the two satellite speakers. The cable is a 5-pin female to female cable. I have NO CLUE the name of the cable or connector - I do not have a lot of experience with pro-audio connectors in general. I would be happy to buy a replacement cable, but, again, I don't know what to shop for. I have a call into Event's support center, but since the early 2000's Event has been bought and sold a couple times, I believe. Currently they only make the Opal series monitors which are distinctly different. The 5-pins in the cable appear to be in a circular configuration - again, both ends of the cable being female and the corresponding male ends are at the sub (power-amp) and the two satellite speakers. Thanks again for any thoughts.

If the cable is bad it's a pretty easy thing to replace the wire that's bad....
Maybe take a picture of the connectors (end shot of connector) and maybe someone here can identify it!
If it's circular and 5 pins it's more than likely a DIN connector...
Check out this link and see if any of these look like your cable connectors.
[[url=http://[/URL]="http://www.cablesto…"]Cables To Go - DIN Connector Guide[/]="http://www.cablesto…"]Cables To Go - DIN Connector Guide[/]

djmukilteo - thanks again: HERE is the update - I did some further "ruling out" and it is NOT a bad cable, rather, the buzz is isolated in the Channel A speaker output. I removed the sub woofer to look inside at the back end of the 5 pin plug (Oh, it looks similar to a DIN plug - round, 5 pin). The wires connected to the 5 pins/poles inside the sub are 2 black, 1 yellow, 1 red and 1 green w/ black stripe. I was looking to see that all the wires were where they should be/not touching each other/etc etc AND I found that the green/black wire and the pin it was connected to TWIST. The whole pin turns and the other wires/pins in that plug (or the ones attached to the pins in the Channel B plug) do not turn. When I looked at the outside of the plug and then touched the green wire I could see that that particular pin was turning on the outside too. Is this a potential problem with the hum/buzzing I've been having? Should those little pins turn at all? Any/all help is (again) appreciated.

OH, and for any newcomers reading this, this is a circa 2000 Event Tria 2.1 system.

Nice troubleshooting and "ruling out". That green wire may in fact be a ground connection causing the buzzing. See if you can fix the pin or jumper around it....you might find that it is making poor connection with the cable...I think you may be in luck...if the buzzing goes away...repair the connector pin and make sure the cable plug is making good contact with the socket.