First thing I get prompted with:
Second thing;
and then, the same as you…
Using Version 50.1.0 - I did however have to test this several times as Firefox apparently likes being restarted to make all of its incremental changes, in my case from version 47…
It might be worth trying to publish via Itch.io also just as a test to see if GameBucket.io is having issues again, probably not in this case though.
The older version of Unity use the WebPlayer which has lost support on most new browsers now. The newer alternative is building via WebGL, but that won’t be an option for you until you move to Unity5 - you do come to this in the course, so if you are unsuccessful getting this to work, then I would recommend moving to Unity5 in due course and then upgrade these projects to that version, build in WebGL and republish to GameBucket.io / Itch.io.
I have also read that for 32bit plugins you need to run the 32bit version of Firefox, although I have yet to determine where I can tell which version is running, I only use Firefox to try to test peoples games on here which are not made with WebGL! 
Updated Tue Jan 17 2017 22:16
Also, I just had a dig through the source on that page and can see the full URL for your game;
<iframe id="game" src="https://gamebucket-io.s3.amazonaws.com:443/GAMES/0931cf6c-4216-465e-9dea-be97bb5bd957/Brick%20Breaker%20Game/Brick%20Breaker%20Game.html"
I see that there are spaces in the title (indicated by the %20 being repeated etc)… try removing these and republishing, I think I saw a mention of someone else having issues because of spaces, this may not solve it obviously but worth trying.
Updated Tue Jan 17 2017 22:25
I just grabbed someone else’s game, a Text101 game which is also published to GameBucket.io, it also has spaces in it’s title/url and appears to be running loading in the WebPlayer installed in my instance of Firefox, so that pretty much rules out my “bit” version, the Firefox browser, the spaces in the title/url…
It might be worth trying to republish it and see if you get a different result, or, if you can, share it via Dropbox or something briefly and let me see if I can run it locally myself?