Use internet explorer (on Windows) to download flash player and and see if you get the same message.
You can also use this link to check the version of flash player already installed on your system
Google chrome already has it's own version of Flash Player installed. If you are receiving messages about needing an updated version of Flash Player while within Chrome you will need to get an update from there.
Otherwise follow Gautham's directions and you can use the latest Flash Player in Internet Explorer, if on Windows, or Safari, if on Mac, and finally within Firefox.