Question

When planning a date night, you have a choice of 2 types of restaurants: pizza (P) or barbeque (B); a choice of 3 types of movies: romantic comedy (R), action/adventure (A), or drama (D); and a choice of 2 types of post-movie activities: grabbing coffee (C) or getting ice cream (I). If you are choosing only one of each.

Required:
List the sample space in regard to the dates (combinations of restaurants, movies, and post-movie activities) you could pick from. REDDIT

Answer 1

`S = \{PRC, PRI,PAC,PAI,PDC,PDI,BRC, BRI,BAC,BAI,BDC,BDI\}`

Explanation:

Given

`Restaurant = \{P,B\}`

`Movies = \{R,A,D\}`

`Post-movie = \{C,I\}`

Required

List out the sample space

To do this, we simply pick 1 item in each category, without repetition.

So, we have:

`S = \{PRC, PRI,PAC,PAI,PDC,PDI,BRC, BRI,BAC,BAI,BDC,BDI\}`