I think the tiger would easily crush your neck, even if their teeth couldn't pierce the mail. I'd give better odds to a knight wearing a lot of plate armor. Still not very good odds though.
I've seen a grown man turned into Filet American by an ordinary housecat with a grudge. A tiger is off the scale in terms of the damage that it will be able to do and no matter what body protection you wear short of a full body armor you will likely end up slightly dead.
I should have seen it coming. This or Miles O'Brien himself chiming in and telling us that trace amounts of exotic substances in medieval chain armour would have interfered with the transporter's Heisenberg compensators.
I don't know, properly made chainmail suit is bite and scratchproof. Might be able to wrestle the tiger into submission. Though the weight of the tiger is going to be a VERY HUGE issue. Give me a spear and I'll be willing though.
That should make for an interesting YouTube video.
On the condition that the tiger is a healthy adult in the wild, hungry, and has never been captive, and someone is standing nearby not to interfere but to hit the upload button after you’re slain.
Chainmail is bite proof in that it will likely prevent the tiger's teeth from puncturing your skin, but a tiger's jaw is strong enough to snap almost any bone in your body through the chainmail, so it's ultimately not going to do you much good.
Two problems I think. First, the kind of bear and the age of the bear. The size and strength of bears range widely. Fighting a sun bear is somewhat reasonable. Fighting a grizzly, on the other hand.....
Second, video proof. I know this kind of things probably aren't taped, because the people are busy fighting for their life. But, still, I'd be skeptical before I see some proof, that a person fought and killed an healthy adult grizzly (or some other comparable types) without a firearm or trap.
Sharks are larger and have larger teeth though. Plus, they have an advantage b/c they live in water and we don't. Bring them to land and we can debate a cage-less shark fight. The tiger situation seems more possible but I wouldn't try it.