Expanding on ganbustein's usual excellent post, since you're running OS X 10.6.3, you Java is not up to date; I can't locate them, but there're posts, if not an entire thread, devoted to a recent Java scare and the applicable patch.
In turn I will expand on Artie's post. The only version of Java for OS X 10.6 was written by Apple based on what has then Sun Microsystem's Java. When Apple made the wise decision to turn Java support for the Mac over to Oracle (who by that time had bought out Sun Microsystems) they dropped support and update of Java. When exploitable vulnerabilities were found in Java
applets they were corrected in Oracle's version of Java and in a subsequent patch to Java 6 by Apple. Since that time Oracle refined and improved the vulnerabilities fix in Java 7 but Apple has not further updated Java 6. Oracle does not have a Java version that runs on any OS X platform prior to OS X 10.7.3.
NOTE: The Java vulnerabilities were in
Applets that only run within a browser environment. Java
Applications that run stand-alone were not subject to the same vulnerability. Java was specifically designed to uniquely support the different environments Java applets are most often found in online games. There are several Java Applications commonly used on OS X including OpenOffice and its variants NeoOffice and LibreOffice, Moneydance, and a number of less well known cross platform specialty apps used with Glucometers, Blood Pressure monitors, and a large number of specialized corporate applications. All of these taking advantage of Java's unique cross-platform design and ability.
In case you cannot tell, I am a Java programmer and fan. It is a great and underutilized programming language.