When planning a date night, you have a choice of 2 types of restaurants: pizza (P)...

When planning a date night, you have a choice of 2 types of restaurants: pizza (P) or barbeque (B); a choice of 4 types of movies: romantic comedy (R), action/adventure (A), drama (D), or foreign film (F); 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, list the sample space in regard to the dates (combinations of restaurants, movies, and post-movie activities) you could pick from.

Separate the elements of the sample space with commas.

Expert Solution

choice of 2 types of restaurants: pizza (P) or barbeque (B)

choice of 4 types of movies: romantic comedy (R), action/adventure (A), drama (D), or foreign film (F)

choice of 2 types of post-movie activities: grabbing coffee (C) or getting ice cream (I)

N(e) = 2 * 4 * 2 = 16

sAMPLE SPACE s =

{(pIzza, drama, grabbing coffee), (pIzza, drama, grabbing Ice cream ),(pIzza, foreign film, grabbing coffee), (pIzza, foreign film, grabbing Ice cream) , (pIzza, romantic film, grabbing Ice cream), (pIzza, foreign film, grabbing coffee), (pIzza, foreign film, grabbing Ice cream), (pizza , action/adventure,grabbing cofffee),pizza , action/adventure,grabbing ice cream), barbeque, drama, grabbing coffee),(barbeque , foreign film, grabbing coffee ), (barbeque, foreign film, getting ice cream), (barbeque,romantic film,grabbing coffee), (barbeque, romantic comedy, grabbing coffee),(barbeque, romantic comedy, grabbing ice cream) , barbeque, action/comedy, getting ice-cream)}

milcah answered 1 hour ago

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