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I think the socially likely event is that one person who DOES NOT CARE about the outcomes, about mathematics and probably about Carol, is most likely to approach her, charm her, confess that he does not care, break her heart and leave her feeling lost and unsure of her own worth.
So, if Carol is really as described and a friend, guys please protect her from such potential heart breakers (even and esplly if she thinks she can handle them).
---If every (wo)man is a universe (or an image of one), two independent straightforward (wo)men holding the same perspective would be parallel universes.---