Mamet is the daughter of American playwright, essayist, screenwriter, and film director David Mamet and actress Lindsay Crouse. Her maternal grandfather was playwright Russel Crouse,who co-wrote such classic American musicals as "Anything Goes" and "The Sound of Music."and one of her maternal great-grandfathers was educator John Erskine. She has a sister named Willa, who works as a photographer, and two half-siblings, Clara--who is also an actress--and Noah. Her father is Jewish and her mother is a Buddhist.She lived in New England until age five when her mother moved to Pacific Palisades, California with her and Willa.After finishing high school, Zosia decided to go into acting instead of going to college