verb (used with object), out·drew, out·drawn, out·draw·ing.
  1. to draw a gun, revolver, etc., from a holster, faster than (an opponent or competitor): She could outdraw any member of the club.
  2. to prove a greater attraction than; exceed in attracting an audience, patrons, attention, etc.: She outdraws all male stars at the box office.

Origin of outdraw

First recorded in 1905–10; out- + draw
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018