arnabd178 said

Installed plugin Shockwave Flash 27.0 r0.

That could be your problem right there :

You need to update your Adobe Flash Player - you're running an older version, which can cause problems. Would you please uninstall your current version and install the latest version, which is 28.0.0.161

Uninstaller : https://helpx.adobe.com/flash-player/kb/uninstall-flash-player-windows.html

https://get.adobe.com/flashplayer/

Note : some 'extras' may be offered in the download.

Does this make a difference  ?

I uninstalled and installed the flash player, upgraded plug in to latest version but still unable to play in firefox, though the game runs on fb gameroom, whenever i open it in firefox i get a black screen.I tried setting the plugin to always active ,don't block suspicious content but still couldn't make it work. I am including a screenshot of the game screen,only when i press the refresh button the game loading screen flashes for a second before going dark again.

Looks like you're not the only one .....

http://community.gtarcade.com/thread/11185-1-1.html

Have you tried what the moderator (scroll down to the last post) suggested  ?

Many site issues can be caused by corrupt cookies or cache. In order to try to fix these problems, the first step is to clear both cookies and the cache. Note: This will temporarily log you out of all sites you're logged in to. To clear cache and cookies do the following:

1. (Firefox 57 and above) Click the Library button and choose History.
   (Click the menu button and choose History in older Firefox versions.)
2. In the History menu, choose "Clear Recent History...".
3. Under "Time range to clear", select "Everything".
4. Now, click the arrow next to Details to toggle the Details list active.
5. From the details list, check Cache and Cookies and uncheck everything else.
6. Now click the "Clear Now" button.

Further information can be found in the Delete browsing, search and download history on Firefox article.