1. Maggie buys an MP3 player and loads 10 songs on it: 3 rock, 6pop, and 3 country songs. She listens to the first two songs inshuffle mode, which picks songs at random and allows the same songto be played repeatedly.
(a) Write the sample space as a set of ordered pairs. (You mayabbreviate rock, pop, and country as R, P, and C,respectively.)
(b) Are these outcomes equally likely? Why or why not?
2. Homer rolls two fair dice. As a reduced fraction such as ¼(not a decimal such as 0.25), find the probabilitythat he rolls each of the following. You must show work!
(a) a sum of at most 5
(b) odd and greater than 8
(c) 3, given that the sum is less than 4
