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Illustrating an Experiment, Outcome, Sample Space and Event

Total questions: 15

Worksheet time: 8mins

Name
Class
Date
1.

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

a)

1

b)

2

c)

3

d)

4

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

a)

100

b)

156

c)

200

d)

216

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

a)

4

b)

8

c)

12

d)

16

4.
  1. 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”?

a)

event

b)

experiment

c)

sample point

d)

sample space

5.
  1. 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?

a)

3

b)

5

c)

7

d)

9

6.
  1. 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?

a)

event

b)

experiment

c)

sample point

d)

sample space

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

a)

3

b)

4

c)

5

d)

6

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

a)

9

b)

18

c)

27

d)

36

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

a)

5

b)

10

c)

12

d)

15

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

a)

𝑆 = {𝑅,𝑂,𝑌,𝐺}

b)

𝑆 = {𝑅,𝑂,𝑌,𝐺,𝐵}

c)

𝑆 = {𝑅,𝑂,𝑌,𝐺,𝐵,𝐼}

d)

𝑆 = {𝑅,𝑂,𝑌,𝐺,𝐵,𝐼,𝑉,𝑃}

11.
  1. Which of the following is the sample space when you flip a coin and roll a die once simultaneously?

a)

𝑆={𝐻1,𝐻2,𝐻3,𝐻4}

b)

𝑆 = {𝐻,𝑇,1,2,3,4,5,6}

c)

𝑆 = {𝐻1,𝐻2,𝐻3,𝑇1,𝑇2,𝑇3}

d)

𝑆 = {𝐻1,𝐻2,𝐻3,𝐻4,𝐻5,𝐻6,𝑇1,𝑇2,𝑇3,𝑇4,𝑇5,𝑇6}

12.
  1. Which of the following is an event in rolling a die once?

a)

𝐸 1={1,4,7}

b)

𝐸 2 = {2,3,5}

c)

𝐸 2 = {0,2,4,6}

d)

𝐸4 = {1,4,9,16}

13.
  1. A box contains 2 red and 3 blue marbles. Which of the following is the sample space when you randomly draw a marble?

a)

𝑆={𝑟,𝑏}

b)

𝑆={𝑟1,𝑟2}

c)

𝑆={𝑏1,𝑏2,𝑏3}

d)

𝑆={𝑟1,𝑟2,𝑏1,𝑏2,𝑏3}

14.
  1. Which of the following statement is FALSE about the sample space of the specified experiment?

a)

Rolling a die once: S = {1,2,3,4,5,6}

b)

Answering a True or False item: S = {𝑇𝑟𝑢𝑒 , 𝐹𝑎𝑙𝑠𝑒}

c)

Tossing two fair coins once: S = {𝐻𝐻, 𝐻𝑇, 𝑇𝐻, 𝑇𝑇}

d)

Drawing a Jack from a standard deck of playing cards:
S= {𝐽𝑎𝑐𝑘 𝑜𝑓 𝑠𝑝𝑎𝑑𝑒𝑠, 𝐽𝑎𝑐𝑘 𝑜𝑓 𝑐𝑙𝑢𝑏𝑠, 𝐽𝑎𝑐𝑘 𝑜𝑓 h𝑒𝑎𝑟𝑡𝑠, 𝐽𝑎𝑐𝑘 𝑜𝑓 𝑑𝑖𝑎𝑚𝑜𝑛𝑑𝑠}

15.
  1. Your cousin wanted to buy a lottery ticket worth one thousand pesos because he wants to try his luck and according to his horoscope that he is so lucky that day. But for you, it is very expensive. Will you support your cousin in buying a lottery ticket?

a)

No, because I do not like it.

b)

Yes, because that is what he wants.

c)

Yes, because according to his horoscope he is so lucky that day.

d)

No, because the chance of winning is very low, and he will be wasting his money and time.