I only uninstall Flash when there's a major version/number change, i.e 10 to 11. If you don't you tend to have both listed in the programs uninstall area. Java, on the other hand, recommends you uninstall the older version unless you need it for a specific program, as Nothinman stated. I've seen upwards of 8 different versions of Java listed on XP computers.
"I Know Bad From Good and Where to Get Free Refills" - Mr. Harding, The Schizophrenic Stock Broker
"The Problem With the World is That Everyone is a Few Drinks Behind" - Humphrey Bogart