Both Cores Working Properly ?

[AMDX23800+]

Hi ,
I have the X2 3800+ @ 2.5Ghz and i was wondering if both cores are working properly.
I took this screenshot while i was running the following programs in the background : - Call Of Duty 2, nVidia Firewall, McAfee Anti-Virus, DAP, Sound effects program and nVidia settings icon
Screenshot :

I am right to say that the 1st core (on left) is running Call Of Duty 2, and the 2nd core (on right) is running the other small programs ?
Can you tell if both my cores are working correctly ?
Thanks

 

[AMDX23800+]

Yes, i think they are working okay, prime95 and CoD1 ran simultaneously no problems