For the average man making unsolicited approaches, the latest stats I have seen tend to bounce between the 1-in-300 and the 1-in-1,500 range of a successful approach per total attempts. And this is just first-date-is-successful territory, it gets a good magnitude worse if you are looking for an LTR.
From what I understand, the flip side is a lot lower: an average women making unsolicited approaches to men seem to be hitting a 1-in-5 to 1-in-20 success range, depending on conditions
Where can I read more about this?