Want to double your odds? Approach men you like and speed up the process. Sure some won't like you back (you can't tell which ones are which before you say something), but who cares? At least you'll get more done and you'll feel like you have some control.
Yeah, I've been approached by the last four women that I have seen over the last year. Guys are under a lot of pressure these days, to not be a creep, to be suave, to have all the bling bling, to be well dressed. Sometimes you are between paychecks, its laundry day and your not dressed your best, you have a cold or have had a crappy day at work, and you just dont feel up to being Mr. Million Bux to appoach that cute girl. Theres a million fish in the sea, so you digress and figure you'll go out and ask later. Or maybe some guys are also just shy.
I find that of the women that actually ask me out, if I'm single, I'd at least take a chance to talk on the phone or go out for a beer or coffee with at least 75% of them. Doesnt meen they are Miss Perfect but I'd take a chance to get to know their personality at least even if they aren't the cutest kitten I've ever seen. If a hot girl asks me out, the score would be about 100% of the time when I'm single, if I'm feeling like I'm about to break up with my girlfriend anyway, a hot girl would still get about a 60-70% chance if she aked me out of me giving it a shot over a cup of coffee.
Women have equality these days. And equality means equal right to ask guys out too. I havent seen much of that equality in dating in my lifetime, but when I have it's often worked out really well for both me and the chick asking me out. Takes the "does she like me" pressure right off.