Chains break unfortunately, I've never had Shimano or KMC chains break on me, but I've had SRAM chains break a couple of times - but don't read anthing other than anecdotal as I use more SRAM chains than anything else.
I carry at least one quick link in my saddlebag as a general rule as well as a multi tool with chainbreaker. It's faster to repair a broken chain than it is a puncture so it's not worth not carrying them.
That being said there have been a couple of times where I've broken a chain and not had a quick link - both times on my MTB, once necessitating a long walk home the other pilfering a quick link from a kind gentleman
I carry at least one quick link in my saddlebag as a general rule as well as a multi tool with chainbreaker. It's faster to repair a broken chain than it is a puncture so it's not worth not carrying them.
That being said there have been a couple of times where I've broken a chain and not had a quick link - both times on my MTB, once necessitating a long walk home the other pilfering a quick link from a kind gentleman