Could you date a guy if you knew he was BI?

Tanya, Age:  18   Profile

So, I have had a very close friendship with a guy at my college for years. We've kissed a few times while drunk, but have always had a truly deep friendship apart from that. About 4 months ago he came out to me that he was Bi. He's dated a fair amount of girls since I've known him, and a few guys in the past few months. I really like him, but I also don't want to get hurt. We both graduate in May and he wants to make things more serious with me. My gut feeling is telling me no, but there are times when my heart tells me yes. Over the past few months, he does seem more into guys than girls and I was always raised to be a "good Catholic girl." Girls, what would you do if you were in my position?