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Exploring Sample Spaces in Probability

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

What is the sample space for rolling a six-sided die?

a)

[1, 2, 3, 4, 5]

b)

[0, 1, 2, 3, 4, 5, 6]

c)

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

d)

[1, 2, 3, 4, 5, 6]

2.

If you flip a coin twice, what is the sample space of outcomes?

a)

{HTH, THT, TTH, TTT}

b)

{HH, HT, TH}

c)

{HHH, HHT, TTH, TTT}

d)

{HH, HT, TH, TT}

3.

Identify the sample space for drawing a card from a standard deck of 52 cards.

a)

The sample space consists of 52 unique cards: ['AH', '2H', '3H', '4H', '5H', '6H', '7H', '8H', '9H', '10H', 'JH', 'QH', 'KH', 'AD', '2D', '3D', '4D', '5D', '6D', '7D', '8D', '9D', '10D', 'JD', 'QD', 'KD', 'AC', '2C', '3C', '4C', '5C', '6C', '7C', '8C', '9C', '10C', 'JC', 'QC', 'KC', 'AS', '2S', '3S', '4S', '5S', '6S', '7S', '8S', '9S', '10S', 'JS', 'QS', 'KS']

b)

The sample space contains 52 cards with no suits.

c)

The sample space consists of 52 numbered cards only.

d)

The sample space includes 26 red and black cards.

4.

What are the possible outcomes when rolling two dice?

a)

There are 36 possible outcomes when rolling two dice.

b)

There are 12 possible outcomes when rolling two dice.

c)

There are 24 possible outcomes when rolling two dice.

d)

There are 18 possible outcomes when rolling two dice.

5.

If a spinner is divided into 4 equal sections labeled A, B, C, and D, what is the sample space?

a)

{A, B, C}

b)

{A, B, C, D, E}

c)

{A, B, C, D}

d)

{1, 2, 3, 4}

6.

What is the sample space for the experiment of tossing a coin and rolling a die?

a)

{(H, 1), (H, 2), (T, 3), (T, 4), (T, 5), (T, 6)}

b)

{(H, 1), (T, 1), (H, 2), (T, 2), (H, 3)}

c)

{(H, 1), (H, 2), (H, 3), (H, 4), (H, 5)}

d)

{(H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6), (T, 1), (T, 2), (T, 3), (T, 4), (T, 5), (T, 6)}

7.

If you have three different colored balls (red, blue, green), what is the sample space for selecting one ball?

a)

{red, yellow, green}

b)

{red, blue, green}

c)

{blue, blue, green}

d)

{red, blue, blue}

8.

What are the possible outcomes when selecting a day of the week?

a)

Firstday, Secondday, Thirdday

b)

Weekday, Weekend, Holiday

c)

Spring, Summer, Autumn

d)

Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday

9.

Identify the sample space for the experiment of choosing a number from 1 to 10.

a)

{1, 2, 3, 4, 5}

b)

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

c)

{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

d)

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

10.

What is the sample space for the event of picking a month from a year?

a)

Summer

b)

Autumn

c)

["January", "February", "March", "April", "May", "June", "July", "August", "September", "October", "November", "December"]

d)

Spring