Exploring Sample Space

A box contains 4 red pencils, 6 blue pencils, 5 black pencils, and 3 green pencils. The best description of the likelihood of selecting a blue pencil at random from the box is ​​​ (a)   . ​ ​

• unlikely

• impossible

• equally likely

• likely

• certain

A spinner has 4 equal sections colored red, blue, green, and yellow. What is the sample space for spinning the spinner once?

• {red, blue, green, yellow}

• {1, 2, 3, 4}

• {red, red, blue, blue, green, green, yellow, yellow}

• {red, blue, green}

What is the sample space when rolling a regular number cube?

• 1

• 2, 4, 6

• 1, 2, 3, 4, 5, 6

• 6

A jar contains 4 red, 3 blue, and 2 yellow balls. What is the sample space for drawing one ball from the jar?

• {red, blue, yellow}

• {4 red, 3 blue, 2 yellow}

• {red, red, red, red, blue, blue, blue, yellow, yellow}

• {1, 2, 3, 4, 5, 6, 7, 8, 9}

A spinner is divided into 4 equal sections numbered 1 to 4. If the spinner is spun twice, what is the sample space for the outcomes?

• {1, 2, 3, 4}

• {(1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2), (3,3), (3,4), (4,1), (4,2), (4,3), (4,4)}

• {1, 2, 3, 4, 5, 6, 7, 8}

• {(1,2), (2,3), (3,4), (4,1)}

A die is rolled twice. What is the sample space for the sum of the numbers rolled?

• {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

• {1, 2, 3, 4, 5, 6}

• {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

• {2, 3, 4, 5, 6, 7, 8, 9, 10, 11}

A die is rolled. What is the sample space for this experiment?

Two dice are rolled and it is recorded whether the result on each is odd or even. What is the probability both are odd?

• 1/4

• 1/2

• 2/4

• 3/4

Two dice are rolled and it is recorded whether the result on each is odd or even. What is the probability that one is even and one is odd?

• 1/2

• 1/4

• 3/4

• 1/3

The tree diagram shows the outcomes of rolling a die and flipping a coin.  
How many total outcomes are there?  

• 6

• 12

• 24

• 36