The study of Schubert varieties has grown out questions in enumerate geometry from the 19th century. This field has flourished over the past fifty years and now has applications in algebraic geometry, representation theory, combinatorics, physics, computer graphics, and economics. We will define Schubert varieties in the context of Grassmannians and flag varieties. These varieties have many interesting properties determined by combinatorial data like partitions, permutations, posets, and graphs. We present five fun facts on Schubert varieties and some open problems in the field.