Illustrating an Experiment, Outcome, Sample Space and Event

1. In how many ways can a prime number turn up when rolling a die once?

• 1

• 2

• 3

• 4

Answer explanation

1, 3, and 5 are prime numbers

2. When you roll a die thrice, how many possible outcomes are there?
   

• 100

• 156

• 200

• 216

3. How many possible outcomes are there in tossing three coins simultaneously?

• 4

• 8

• 12

• 16

4. In playing a snake and ladder game, you hope to get a number 5 in rolling a die once to win a game. Which of the following describes the phrase “get a number 5”?

• event

• experiment

• sample point

• sample space

5. In a bag, there are 3 white balls, 2 brown balls and 4 gray balls. How many possible outcomes when one ball is chosen randomly from the bag?

• 3

• 5

• 7

• 9

6. The set of possible outcomes of getting composite number from the counting numbers 5 to 10 is S = {6,8,9,10}. Which of the following terms describes this set of outcomes?

• event

• experiment

• sample point

• sample space

7. How many possible outcomes are there for the experiment choosing a rock, or a paper, or a pair of scissors at random?

• 3

• 4

• 5

• 6

8. When a card is drawn from the standard deck of 52 playing cards, how many possible outcomes of getting a numbered card?

• 9

• 18

• 27

• 36

9. From the counting numbers 1 to 30, in how many ways can you choose a number which is a multiple of three?

• 5

• 10

• 12

• 15

10. Suppose you spin the spinner shown at the right. Which of the following is the sample space?

• 𝑆 = {𝑅,𝑂,𝑌,𝐺}

• 𝑆 = {𝑅,𝑂,𝑌,𝐺,𝐵}

• 𝑆 = {𝑅,𝑂,𝑌,𝐺,𝐵,𝐼}

• 𝑆 = {𝑅,𝑂,𝑌,𝐺,𝐵,𝐼,𝑉,𝑃}