I've had a three tires explode while I was riding them.
First time was in about 1983. I was riding along the highway during the summer and suddenly my rear tire blew out with a bang when I was almost 40 miles from home. I don't know what happened as I only thought about it as a flat tire at the time, but the tube was shredded.
Second time was in 2000. The POS rim on my front wheel split and KABOOM! The split caught my front brakes and brought the bike to an instant stop.
Last time was about 2006. I ran over a half a beer bottle in the wet and dark. It cut completely through the tire so again I got a big BOOM.
I've had two tubes detonate on bikes that were not moving, undoubtedly due to botched install.