Is it safe to say that all "hot" girls..are taken?

or is that a bad assumption

there was a girl at my work today who was extremely attractive. I made the assumption that she was taken, partly because I was afraid of being rejected but also because usually the jerkish guys get hot girls. though she was not with anyone, was is it OK for me to assume she had a jerk waiting for her at her/his place?
Is it safe to say that all "hot" girls..are taken?
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