Sinsull, I should have made clear that I referred to an official visit to a glacier. Anyone can climb onto a glacier on one's own - and if that is what you did, you are fortunate indeed.
Accidents happen.
Some years back (I know, sounds like an urban legend) a group in southeast Alaska was led on a glacier trek by several scientists. The story goes that they sat on the ice to rest and eat a bite.
A backpack started sliding and one of the scientists lunged for it. He followed the pack into the crevasse. Head first.