This might be helpful to see if Flash Player is installed and help you if you need to install it:
You may also want to read:
I am moving this to the Installing Flash Player user forum so the experts there can assist you further if you need it.
Windows 10 like 8 is a little different.
ActiveX Flash player is handled by windows updates. Why don't you run that?
Also Firefox is handled by a separate plugin and Chrome has it build in to the browser.
That link I provided pretty much does what you ask for EXCEPT the ActiveX versions ( on windows 10/8 , Windows 7 will re-install it with that utility ) which is part of the operating system, and removing that would cause problems.; but go run windows updates. ALso you can check the event veiwer after you run the utility to see which versions of flash player you have installed. All of that is in the documentation where tat link is.
Hope that helps