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When making an ice cream sundae, you have a choice of 2 types of ice cream flavors: chocolate (C) or vanilla (V); a choice of 3 types of sauces: hot fudge (H), butterscotch (B), or strawberry (S); and a choice of 2 types of toppings: whipped cream (W) or fruit (F). If you are choosing only one of each, list the sample space in regard to the sundaes (combinations of ice cream flavors, sauces, and toppings) you could pick from.

Respuesta :

ANSWER:

[tex]\lbrace(C,H,W),(C,H,F),(C,B,W),(C,B,F),(C,S,W),(C,S,F),(V,H,W),(V,H,F),(V,B,W),(V,B,F),(V,S,W),(V,S,F)\rbrace[/tex]

STEP-BY-STEP EXPLANATION:

We have the following variety:

[tex]\begin{gathered} \text{ For flavor: }\mleft\lbrace\text{C, V}\mright\rbrace \\ \text{ For sauces: }\mleft\lbrace H,B,S\mright\rbrace \\ \text{ For toppings: }\mleft\lbrace W,F\mright\rbrace \end{gathered}[/tex]

So, sample space would be:

[tex]\mleft\lbrace(C,H,W),(C,H,F),(C,B,W),(C,B,F),(C,S,W),(C,S,F),(V,H,W),(V,H,F),(V,B,W),(V,B,F),(V,S,W),(V,S,F)\mright\rbrace[/tex]

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