I see a problem with that. If you assume that you don't do blind dates, and you always know what people look like before you consider them for a date, then it's possible to negate the effects of the "beautiful people" percentage. Also, if you assume that you're not going to go a hundred miles for a date, then the total population size drops significantly. Actually, there's a lot of problems. Let's start it over:

Number of people you might ever have an opportunity to meet: 8,000,000

This is about the population of New York City. So, throughout your life, you might see this many people in bars or next to you at the bus stop or just walking past you. Hell, I'll make it 10,000,000, for those of you that don't believe me.

10,000,000 * .5 = 5,000,000

So you might see five million women throughout your life.

5,000,000 * .15865 = 793,276

This is how many women are 1 standard deviation or more above the norm. Using the 1-10 scale, this is probably about a 7 or an 8 at least.

So, ok. That's 793,276 women attractive enough that you will see in your life that you might want to talk to.

That's what you should use as your population in this situation. I assume, of course, that you won't talk to ugly chicks with the goal of dating them.

793,276 * .4384 = 347,772

According to Facebook Network Statistics, this is about how many singles are in our population.

347,772 * .15865 = 55,174

This is how many women in our remaining population are 1 standard deviation above the norm in the category of "fun to talk to".

55,174 * .4 = 22069

This is how many of these women might like me.

So that's 22069 "Dateable" women out of 793,276, or 2.782%. So, let's see. You don't have to go on a date to figure out that a girl is uninteresting or single. You only have to talk to them for like 10 or 15 minutes, and you could talk to maybe 8 or 9 girls over the course of day. All these statistics don't even count the fact that females somehow connected to your circle of friends, your coworkers, or your classmates might be more likely to be interesting, beautiful, or single. So let's figure out what this means: 2.782% of women you actually go up to and try to have a conversation with are at least acceptable for a first date. So, you really only have to talk to like 50 women to find a girl suitable for that first date - that's about 1 a week, assuming you talk to 7 or so girls a day. So, in a year, you could have 52 first dates, assuming none of them are suitable for a second date. If 2% of first date candidates are suitable for a stable relationship, then that's one stable relationship per year.

See, it's not so bad, guys. Just go out and talk to people. Actually, today is free hugs day. Go out and hug someone. But don't be creepy.