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Thing is, anon, I think you're making a false assumption here: that women can get laid any time they want. If that were true, then the basis of just about every romantic comedy would be shattered. For that matter, there'd be no such thing as an unpopular hooker.
I'm a pretty good looking woman, but in my days of going out and getting laid (and sometimes that was indeed all I was doing) I still got turned down from time to time because the guy wasn't interested or wanted someone else. Maybe I could get laid whenever I wanted if I had no standards whatsoever, but so far I've drawn the line at standing at the street corner and yelling "Hey! Free sex here!" Even doing that, I think most men would avoid me. Most men have standards, too.
To quote Heinlein in I Will Fear No Evil, pretty girls get asked [for sex] more often than homely boys. But Heinlein's character--the once-homely boy--goes on to note that he managed to lead a pretty varied life even with that relative disadvantage. And I'd be willing to bet that pretty boys get asked more often than homely girls.
One more thing: IME girls don't often ask, not because they don't want to or because they're superior (not most of them, anyway) but because women are generally socially conditioned to be approached for sex, not to do the approaching. This has led to an amusing phenomenon in queer female culture: the "lesbian sheep". A gay woman who approaches other women has a decent chance just because she's asking. Otherwise, all the women hang out and wait for someone else to make the first move.