How lucky are you usually?
My test is to replace the inner tube and reinflate the tire to operating pressure. If you can't see or feel where the nail went through, you're good-to-go. If you can feel a bump or blister, you have cut some of the tire cords and compromised the tire.
Here's where the luck comes in. You can stick something inside of the tire and, if you happen to be lucky and you don't hit it again in the same place, it can last for quite a long time. On the other hand, it may decide to split completely open, usually after waiting until you're on some lonely road around 20 miles from your car with buzzards circling overhead.
If you really think that you're a pretty lucky person, why don't you just buy a lottery ticket and use part of the proceeds to buy yourself a new tire?