I don't know why you're so concerned about it..
If you want a partner, then why aren't you making an effort to speak to new people?
I mean, obviously you know someone's not just gonna fall on your lap, and also, you don't need to go out every day and specifically search for someone either.
Whatever happens will happen as you say too, but I'll tell you that a negative attitude is generally not an attractive one.. so enjoy being single. Enjoy your "solitude" too. We are born alone and we die alone too. There is nothing wrong with being alone, but if you're looking for someone for the sake of just feeling like you -need- someone to be there for you, or because you are jealous of other couples, then you're looking for someone for the wrong reasons.
It has nothing to do with hope. Just chat to someone- even if it's a cop out easy topic like "Hey, did you find the homework hard yesterday?" If they think you're a weirdo or you mess up.. who cares? It's not like they're gonna go home and spend the whole night thinking that the way you said hi was slightly gurgly because it was the first thing you said that morning, or whatever else might "mess up" when you chat to them.
If you're unhappy with something in your life, you have to take some initiative to change it, either by accepting it and enjoying what you have now, or taking action. (Changing your frame of mind, or changing your routine.)
In theory it's simple, in practice it's hard.. but it's better than sitting there brooding and looking around at all the people holding hands and feeling sorry for yourself.
Anddd.. that's all from Kura M.D. PhD tonight. Lols..