I am using an ISP provided router in bridge mode with my own router.
- Where is the risk of getting hacked?
- Can my ISP provided router in bridge mode (=modem) be hacked?
- Can it get firmware updates when in bridge mode?
I am using an ISP provided router in bridge mode with my own router.
It depends on the router. In case of cable routers some run two operating systems on different CPUs. One for the WAN/modem/cable connection like eCos RTOS and one Linux system for the LAN side. On the WAN side there can be an additional network the ISP has access to which you can't see from the LAN. Also a DSL modem still runs some Linux but afaik has no additional network service running on the WAN side. It is similar to a real network bridge.
There are usually several other routers from the ISP in your path to the final IP. So you already trust the provider a lot. Your home router could in theory offer some more ways to attack client devices like Wifi, USB or additional applications running on it. Encrypting traffic or using a VPN on your PC/smart phone can protect against a malicious router.