Problem 1. A cube has its six sides colored red, white, blue, green, yellow, and violet. It is assumed

that these six sides are equally likely to show when the cube is tossed. The cube is tossed

once.

(a) Describe the sample space

(b) Consider the random variable that assigns the number 0 to red and white, the number

1 to green and blue, and the number 2 to yellow and violet. What is the distribution

of this random variable?