Hot Glue
I've read it here before because i had a problem with my guy moving the probe around. I had a big fear of tape sticking to something i didn't want it too. The hot glue works great on plastic, glass, tile, and should stick good to carpet and when you need to clean just give it a good twist and it comes free usually completely with no mess. It drys hard and is good up well over 100deg so no worry about it re-melting.