Question

Sara is deciding on the kind and color of new countertops for her kitchen. Her choices are granite (G) or quartz (Q). The color choices are charcoal (C), white (W), or Sand (S). Which TWO statements are correct?
Responses


A {GC, GW, GS, QC, QW, QS} is the sample space.{GC, GW, GS, QC, QW, QS} is the sample space.


B Sara can choose from 5 combinations.Sara can choose from 5 combinations.


C Sara can choose from 6 combinations.Sara can choose from 6 combinations.


D {G, Q, C, W, S} is the sample space.{G, Q, C, W, S} is the sample space.


E {GQ, C, W, S} is the sample space{GQ, C, W, S} is the sample space
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Answer 1

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A is correct: the sample space includes all possible combinations of type and color, so it is {GC, GW, GS, QC, QW, QS}.

B is incorrect: there are 6 possible combinations, not 5.

C is correct: Sara can choose from 6 combinations in total, as stated in A.

D is incorrect: this is the set of all possible options (type and color), but not the sample space.

E is incorrect: this set is missing some combinations, such as G+C or Q+S.