Identifying Outcomes In A Sample Space Quiz

1) Which of the following lists represents the complete sample space for spinning the spinner once and rolling the number cube once (as ordered pairs Spinner, Die)?

(R, 1), (B, 2), (G, 3), (Y, 4), (R, 5), (B, 6)

(R, 1), (R, 2), (R, 3), (R, 4), (R, 5), (R, 6)

(R, 1), (B, 1), (G, 1), (Y, 1)

2) How many outcomes are in the sample space for one spin and one roll?

4

24

6

12

3) Which of the following outcomes is impossible for the experiment described?

(G, 4)

(Y, 6)

(Purple, 2)

(B, 1)

4) Which two outcomes are equally likely?

(R, 5) and (R, 6)

(B, 2) and (Y, 2)

(G, 3) and (Y, 1)

All pairs in A, B, and C are equally likely

5) What is the likelihood of landing on Blue and rolling an odd number?

3 out of 24

1 out of 24

6 out of 24

12 out of 24

6) Which statement best describes the probability of getting a Yellow and a number greater than 6?

Unlikely

Certain

Equally likely

Impossible

7) A standard deck is reduced to these 8 cards: A, 2, 3, 4 of Hearts and A, 2, 3, 4 of Spades. If one card is drawn at random, which is the correct sample space?

{A♥, 2♥, 3♥, 4♥, A♠, 2♠, 3♠, 4♠}

{A♥, 2♥, 3♥, 4♥}

{Hearts, Spades}

{A, 2, 3, 4}

8) A bag contains 3 red marbles and 2 blue marbles. One marble is drawn. Which outcome is impossible?

Red

Blue

Green

Drawing any one marble

9) A fair coin is flipped and a fair 3-sided spinner labeled 1, 2, 3 is spun. Which statement is true?

The sample space has 3 outcomes.

The sample space has 8 outcomes.

The sample space has 6 outcomes.

The sample space has 12 outcomes.

10) Which list correctly shows all outcomes for rolling a fair number cube?

0, 1, 2, 3, 4, 5

1, 2, 3, 4, 5, 6

1, 2, 3, 4, 5

1, 2, 3, 4, 5, 6, 7

11) A jar has letter tiles: A, A, B, C. One tile is drawn at random. Which sample space and counts are correct?

{A, A, B, C} with A more likely than B or C

{A, B, C} with all equally likely

{A, B, C} with A less likely

{A, B, C} with C more likely

12) A spinner has 5 equal sections labeled 1, 2, 3, 4, 5. Which statement is true?

Each outcome is equally likely.

1 is more likely than 4.

3 is impossible.

5 is certain.

13) You roll two fair number cubes. Which is the correct sample space size (number of outcomes)?

6

36

12

72

14) For two fair number cubes, which of the following is a correct set of possible sums?

1, 2, 3, …, 12

2, 3, 4, …, 12

0, 1, 2, …, 12

3, 4, 5, …, 12

15) A spinner has 3 equal sections labeled Cat, Dog, Bird. Which outcome is impossible?

Cat

Dog

Bird

Fish

16) A number is chosen at random from the set {2, 4, 6, 8}. Which statement is true?

Odd is possible.

Prime is certain.

Odd is impossible.

2 is impossible.

17) Which list shows all outcomes when choosing a day from a school week?

Monday, Tuesday, Wednesday, Thursday, Friday

Monday, Tuesday, Wednesday, Thursday

Monday, Wednesday, Friday

Monday, Tuesday, Thursday, Friday, Saturday

18) A bag has 4 green, 4 yellow, and 4 purple beads. One bead is chosen at random. Which statement is true?

Green is more likely than yellow.

Purple is less likely than green.

Yellow is impossible.

All colors are equally likely.

19) You flip a fair coin twice. Which sample space lists all possible ordered outcomes?

H, T

HH, HT, TH, TT

HH, TT

HHT, TTH

20) A game board spinner has 8 equal spaces numbered 1–8. Which is a correct description of an outcome and its likelihood?

Spinning a 9 is unlikely

Spinning an even number is impossible

Spinning a number from 1 to 8 is possible, and each single number is equally likely

Spinning a 1 is certain

Identifying Outcomes in a Sample Space Quiz