Counting and Probability

(a) A cube is painted red on all six sides, then cut into 125 smaller congruent cubes.

How many of the small cubes are painted red on exactly one side?

(b) A cube is painted red on all six sides, then cut into 125 smaller congruent cubes.

How many of the small cubes are not painted red on any sides?

(c) A cube is painted red on all six sides, then cut into 125 smaller congruent cubes.

A small cube is selected at random and rolled. What is the probability that it has a red side facing up?

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  1. No idea. You know?

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  2. Idk this one...im literally struggling w/ it for my hw so trying to learn from internet

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