Wacom Pen + tablet, will a new pen work with my older device.?

I have a Wacom Bamboo. The older one that's black with a red label. the small one ( the cheapest one ) My pen broke. if i buy a new pen (model LP-160) will it work on my device? or do i have to buy a whole new tablet and pen. i wondered if my specific pen was coded only to my device. i hope i've... show more I have a Wacom Bamboo. The older one that's black with a red label. the small one ( the cheapest one )
My pen broke.
if i buy a new pen (model LP-160) will it work on my device? or do i have to buy a whole new tablet and pen. i wondered if my specific pen was coded only to my device.

i hope i've explained this ok
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