EULA may forbid you from certain activities, however if and when it came down to it, Bioware and all associated parties would determine whether or not it would be worth while prosecuting or pressing charges against people who breech the EULA on a case by case basis.
A single person, who genuinely has owned the game, and only breeched the EULA just to play the game that they legally own, will not likely be prosecuted, even if they went up to the head of Bioware, and recounted the crime in vivid detail.
Morally, they are not in the wrong, and in most cases, it would be more cost to Bioware to press Civil charges, than to just let that individual play the game.
The EULA is probably meant more as a guideline, or safety net, should Bioware or other companies, ever need to prosecute people who are mass distributing the game, in such quantities, that it has harming revenue and stock prices, then they have the EULA, which serves as a 'If you breech it, and we want to, then we can Prosecute you.' Card.
Breeching the EULA wont necessarily get you in trouble, especially if you are Morally in the right.
Note - if you do plan on 'acquiring' the game iso from sources such as torrents.
Turn on encryption, so your ISP cannot see what the content of your data transfer is.
Its important to know though,
For an ISP to see what your distributing via torrents, they too would have to upload/download the same torrent, making them as guilty of file sharing as you are.