Question

Write out the sample space for the given experiment. Use the following letters to indicate each choice: Y for yellow, B for blue, W for white, G for gray, T for teak, and U for unfinished. While renovating your house, you have a choice of paint colors for your game room: yellow, blue, or white. You also have the following options for the finish on your entertainment center: gray, teak, or unfinished.

Answer 1

YG, YT, YU, BG, BT, BU, WG, WT and WU

Explanation:

The sample space are all the posibles options that you can take, so the sample space in these case is:

YG, YT, YU, BG, BT, BU, WG, WT and WU

Where, for example, YG means that you choose Yellow for your game room and Green for your entertainment center and BU means that you chosse Yellow for your game room and Unfinished for your entertainment center.