Yes, but it's extremely unlikely that your vote would sway the result, and I'm operating under the assumption that you can only control your own decision to vote.
> So why try to persuade people their vote doesn't matter? If enough of them (an admittedly large number) listen, it will matter.
You're confusing two things. I would never try to persuade people that the sum of everyone's votes doesn't matter, because it obviously does (discounting for the moment the possibility of election fraud). But I would try to persuade individuals that their vote will not matter with a very high probability.
Even though this is often phrased in such a way that it almost sounds like a contradiction or paradox, it's not at all. It's analogous to the lottery: the more people that play, the higher the chance that someone will win (assuming random picks), but one person buying a single lottery ticket has such a small probability of winning that I would recommend against relying on the lottery to change one's financial situation.
