Question

A four-part spinner is spun once.

spinner with four parts labeled W, X, Y, and Z

List the sample space for the experiment.
S = {X, Y, Z}
S = {W, Z, Z}
S = {W, Y, Y, Z}
S = {W, X, Y, Z}
Question 2
(Multiple Choice Worth 2 Points)
(Sample Spaces LC)


Which event will have a sample space of S = {h, t}?
Flipping a fair, two-sided coin
Rolling a six-sided die
Spinning a spinner with three sections
Choosing a tile from a pair of tiles, one with the letter A and one with the letter B
Question 3
(Multiple Choice Worth 2 Points)
(Sample Spaces MC)


Julia had a bag filled with gumballs. There were 3 lemon-lime, 4 watermelon, and 6 grape gumballs. What is the correct sample space for the gumballs in her bag?
Sample space = lemon-lime, watermelon, grape
Sample space = lemon-lime, lemon-lime, lemon-lime, watermelon, watermelon, watermelon, watermelon, grape, grape, grape, grape, grape, grape
Sample space = 3, 4, 6
Sample space = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13
Question 4
(Multiple Choice Worth 2 Points)
(Sample Spaces LC)


A paper bag has six colored marbles. The marbles are red, green, blue, purple, yellow, and orange. List the sample space when choosing one marble.
S = {1, 2, 3, 4, 5, 6}
S = {red, blue, green, orange, yellow}
S = {g, r, b, y, o}
S = {green, blue, yellow, orange, purple, red}
Question 5
(Multiple Choice Worth 2 Points)
(Sample Spaces MC)


A set of eight cards were labeled with A, D, D, I, T, I, O, N. What is the sample space for choosing one card?
S = {A, D, D, I, I, N, O, T}
S = {A, D, I, T, O, N}
S = {A, I, O}
S = {D, I}
Question 6
(Essay Worth 4 Points)
( HC)


Part A: Create your own experiment with 5 or more possible outcomes. (2 points)
Part B: Create the sample space for your experiment in Part A. Explain how you determined the sample space. (2 points)


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Answer 1

Question 1
Correct: S = {W, X, Y, Z}

Question 2
Correct: Flipping a fair, two-sided coin

Question 3
Correct: Sample space = lemon-lime, watermelon, grape

Question 4
Correct: S = {green, blue, yellow, orange, purple, red}

Question 5
Correct: S = {A, D, I, T, O, N}

Question 6
Part A: Experiment — Roll a standard six-sided die.

Part B: Sample space = {1, 2, 3, 4, 5, 6}.
Explanation: The die has six faces numbered 1–6, and one of those numbers must appear on a single roll, so the sample space is the set of those six possible outcomes.