Hi Yaohan, yes this is possible!
This link shows how to do it: http://help.rossvideo.com/carbonite-device/Topics/Devices/UMD/TSL.html
Assuming you will like the CB Solo to send tally to the Carbonite Black. Go to Device Config of the CB Solo, and set up a 'SerialTally' device which points to the IP address of the Carbonite Black, port 5272. Further instructions in above link.
The Carbonite Black is already listening for tally information on port 5727. No setup required for this part. However, you will need to go to Input Configuration and assign TSL address to the inputs. Red box in image below.

Now, refer back to the above link for the TSL ID mapping for CB Solo. (*Note that the mapping differs for different Carbonite frames.)
- for CB Solo: Input 1-9 has ID 1-9.
So now, when Input 1 is on-air on the CB Solo, it will trigger TSL ID #1 on the Carbonite Black, which in my above screenshot is Cam2.
Hope this helps!
Aaron
#Carbonite