The Dodo Competition

Team: 
HP Cubers
Topic: Probability, Counting & Combinatorics
Views -

Luke is determined to break the world record time for the dodo cube, a cube with the same color on every side. But as Luke begins to solve his cube, everything falls apart. How will he succeed?
Problem: Luke paints each face of a 5 × 5 × 5 cube red. He then cuts the cube into 125 unit cubes and randomly chooses a single unit cube. What is the expected value of the number of painted faces on this unit cube? Express your answer as a decimal to the nearest tenth.

Common Core Standards:
Problem #: 
17 (2018-2019)
Problem Difficulty Level: 4 [?]