Good old Science backs up Shane's "common sense" argument that MMA is significantly safer than boxing when it comes to the most serious type of injury because in boxing 80% of the time you're attacking the head with strikes, while in MMA there are many other options for how to score points/finish a match.
https://www.sciencedaily.com/release...1106062447.htm
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... MMA fighters face a slightly higher risk of minor injuries. Boxers, however, are more likely to experience serious harm from concussions and other head trauma, loss of consciousness, eye injuries, smashed noses and broken bones.
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Yes, you're more likely to get injured if you're participating in mixed martial arts, but the injury severity is less overall than boxing. Most of the blood you see in mixed martial arts is from bloody noses or facial cuts; it doesn't tend to be as severe but looks a lot worse than it actually is."