While in a Flashpoint, all group members make decisions in a conversation, then the game chooses one of the responses.
However, in my experience, this is not a random choice (or I have tremendously bad luck). How does the game decide which response is chosen?
Best Answer
It looks like you've just been unlucky.
This can lead to some interesting conversation dynamics if the leader is in the minority.
One important detail to note is that Light side and Dark side points are not awarded to the group for the choice depicted, but for each player individually according to the choice they made individually.
Source: Interview with developers
This matches what the Developers said when they walked through one of the first flashpoints - The Esseles.
Finally, the 1.1 patch notes allude that the game tries to "normalize" conversation rolls to make sure who "wins" each roll is approximately equal.
The above quote would seem to indicate that not getting to speak in one social roll gives a boost in your next social roll, resetting when you finally get a chance to speak.