From the information provided, create the sample space of possible outcomes.
-Both Fred and Ed have a bag of candy containing a lemon drop, a cherry drop, and a lollipop. Each takes out a piece and eats it. What are the possible pairs of candies eaten?
A) LD-CD LD-CD LD-CD LD-LP LD-LP LD-LP CD-LP CD-LP CD-LP
B) LD-LD CD-LD LP-LP LD-LP CD-CD LD-LP LP-CD CD-LD LP-LD
C) LD-LD CD-LD LP-LP LD-CD CD-CD LD-LP LP-CD CD-LP LP-LD
D) CD-LD LD-LP LP-CD LP-LP LD-LD

Question

From the information provided, create the sample space of possible outcomes.
-Both Fred and Ed have a bag of candy containing a lemon drop, a cherry drop, and a lollipop. Each takes out a piece and eats it. What are the possible pairs of candies eaten? 
A) LD-CD LD-CD LD-CD LD-LP LD-LP LD-LP CD-LP CD-LP CD-LP
B) LD-LD CD-LD LP-LP LD-LP CD-CD LD-LP LP-CD CD-LD LP-LD
C) LD-LD CD-LD LP-LP LD-CD CD-CD LD-LP LP-CD CD-LP LP-LD
D) CD-LD LD-LP LP-CD LP-LP LD-LD

Quizplus · Accepted Answer

Each person can choose any of the three candies, so there are 3 possibilities for the first person and 3 possibilities for the second person, giving a total of 3 x 3 = 9 possible pairs of candies. These pairs can be represented by LD-LD, LD-CD, LD-LP, CD-LD, CD-CD, CD-LP, LP-LD, LP-CD, and LP-LP. Out of the given choices, only Option C includes all nine possible pairs.

From the Information Provided, Create the Sample Space of Possible