Math SOL 5.15 Sample Space 1

1) Jack tossed a coin three times. Which tree diagram shows all the possible outcomes of the coin landing heads up or tails up?

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2) Bailey will roll a number cube and flip a coin for a probability experiment. The faces of the number cube are labeled 1 through 6. The coin can land on heads or tails. If Bailey rolls the number cube once and flips the coin once, which list contains only the outcomes in which the number cube lands on a number greater than 4?

• 5, Heads 

  5, Tails 

  6, Heads

  6, Tails

  
  

• 1, Heads            4, Heads

  1, Tails               4, Tails

  2, Heads            5, Head

  2, Tails               5, Tails

  3, Heads            6, Heads

  3, Tails               6, Tails

  
  

• 5, Heads 

  6, Tails

• 4, Heads 

  4, Tails 

  5, Heads 

  5, Tails 

  6, Heads 

  6, Tails

4) The arrow on each spinner shown below will be spun one time. Which of the following diagrams shows all the possible outcomes when each arrow is spun once?

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5) The spinner shown is divided into congruent sections that are labeled from 1 through 7.

If the spinner is spun one time, what is the probability of the arrow not landing on a section labeled with an odd number?

6) The school PTA sponsored an ice cream party for 278 sixth-grade students. They bought ice cream in 3 different flavors: chocolate, vanilla, strawberry, and 2 types of toppings: nuts and hot fudge. Each student chose one flavor of ice cream and one topping. Which tree diagram shows all the possible combinations of ice cream and toppings?

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7) A teacher has a container of paper clips. She will randomly select one paper clip from the container.

● The container has 8 pink paper clips.

● The container has 14 purple paper clips.

● The container has 12 yellow paper clips.

● The container has 16 blue paper clips.

Complete the statement below.

The probability of selecting a purple paper clip is ​ ​ (a)   , and the probability of selecting a paper clip that is not purple is ​​ (b)   .

8) Jocelyn made a spinner with equal sections, as shown.

If Jocelyn spins only one time, what is the probability that the arrow will NOT land on a red section of the spinner?

Mathematical Equivalence

ON

During lunch, you have a choice of 1 burger, 1 side and 1 drink. Which multiplication sentence shows the total number of possible combinations?

• 4 x 2
• 4 + 2 + 4
• 4 + 2
• 4 x 2 x 4

According to the sample space, what is the probability that the combination Leslie chooses will include juice?

• 1/8

• 1/4

• 4/8

• 8/8

The chart shows the different shirts, pants, and shoes Simon has in his closet. Which lists all of the possible combinations Simon can create of one shirt, one pair of pants, and one pair of shoes?

• A

• B

• C

• D