When planning a date night, you have a choice of 3 types of restaurants: pizza (P), barbeque (B), or sea food (S); a choice of 2 types of movies: romantic comedy (R) or action/adventure (A); and a choice of 3 types of post-movie activities: grabbing coffee (C), getting ice cream (1), or going for a walk (W). If you are choosing only one of each, list the sample space in regard to the dates (combinations of restaurants, movies, and post-movie activities) you could pick from.

Answer 1

The sample space for the date night options would be as follows:

1. PR1
2. PRW
3. PRC
4. PA1
5. PAW
6. PAC
7. BR1
8. BRW
9. BRC
10. BA1
11. BAW
12. BAC
13. SR1
14. SRW
15. SRC
16. SA1
17. SAW
18. SAC