a die is rolled twice and a coin is tossed thrice. how many are in the sample space?
6 ways for the first dice roll times
6 ways for the second dice roll, times
2 ways for the first coin toss, times
2 ways for the second coin toss, times
2 ways for the third coin toss, or
6·6·2·2·2 = 6²·2³ = 36·8 = 288
Edwin