Boyfriend advocates pull out method, and I'm iffy

Barbie
He claims to have done it with three women in the past and he had sex with each spanning months. (He's very sex-driven) and I'm wondering if these women were lucky NOT to get pregnant/maybe were not very fertile or if my boyfriend's precum doesn't contain much sperm. I would like to try it out as an added method of birth control but I'm still borderline about it. What do you think? I don't think all women are the same so I would hate to be the one woman who he gets pregnant with precum. Do you think his precum doesn't contain much sperm? 
I am on birth control just to add, and my vagina doesn't fair well with condoms