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Downplayed: Alice has an open mind and low standards.
Justified: Alice just has a high sex drive; it's nothing to do with her sexuality, but she decides to take advantage of the fact people expect her to have sex a lot to, well, have sex a lot.
Inverted: All the monosexual cast members have lots of sex. Alice can't get laid.
Alice appears to have lots of casual sex with people of both sexes, sleeping with a woman one night and a man the next... actually, she is in a committed polyamorous relationship with them both, Bob and Carol, and is actually the least sexually driven one in their relationship.
Alice is bisexual and acts promiscuously, but she has recently been through a traumatic experience and this is a coping mechanism; she's not usually like this.
Alice is less sexually-driven because she's tired out; she's cheating on Bob and Carol with David, and Emily, and Frank, and Helga...
...or at least that's what she tells everyone. Honestly, nothing happened and she feels she needs an excuse.
Alice has slept with everyone on the planet. Literally.
When a character mentions that they haven't slept with Alice, other characters react with shock or dismissal.
Zig Zagged: ???
Alice is bisexual and is not particularly promiscuous.