Sample Spaces for Compound Events

Question 1

A coin is flipped, then a card labeled A or B is chosen. What organized list shows the sample space?

Accepted Answer

{HA, HB, TA, TB}

Answer

{H, T, A, B}

Answer

{HH, HT, TH, TT}

Answer

{AA, AB, BA, BB}

Question 2

A snack is chips or fruit, then a drink is water, juice, or milk. What organized list shows the sample space?

Accepted Answer

{chips-water, chips-juice, chips-milk, fruit-water, fruit-juice, fruit-milk}

Answer

{chips, fruit, water, juice, milk}

Answer

{chips-water, chips-juice, chips-milk, fruit-water, fruit-juice}

Answer

{chips-fruit, fruit-chips, water-juice, juice-milk, milk-water}

Question 3

A spinner lands on 1, 2, or 3, then a coin lands H or T. What organized list shows the sample space?

Accepted Answer

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

Answer

{1, 2, 3, H, T}

Answer

{1H, 2H, 3H}

Answer

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

Question 4

A shirt is red, blue, or green, then a hat is black or white. What organized list shows the sample space?

Accepted Answer

{red-black, red-white, blue-black, blue-white, green-black, green-white}

Answer

{red, blue, green, black, white}

Answer

{red-black, blue-black, green-black}

Answer

{red-blue, blue-green, black-white, white-black}

Question 5

A letter A or B is chosen, then a number 1, 2, or 3 is chosen. What organized list shows the sample space?

Accepted Answer

{A1, A2, A3, B1, B2, B3}

Answer

{A, B, 1, 2, 3}

Answer

{A1, A2, A3, B1, B2}

Answer

{AA, AB, BA, BB, 11, 22}

Question 6

The weather is sunny or rainy, then the game is soccer or tennis. What organized list shows the sample space?

Accepted Answer

{sunny-soccer, sunny-tennis, rainy-soccer, rainy-tennis}

Answer

{sunny, rainy, soccer, tennis}

Answer

{sunny-rainy, rainy-sunny, soccer-tennis, tennis-soccer}

Answer

{sunny-soccer, rainy-tennis}

Question 7

A marble is red or yellow, then a cube is small or large. What organized list shows the sample space?

Accepted Answer

{red-small, red-large, yellow-small, yellow-large}

Answer

{red, yellow, small, large}

Answer

{red-yellow, yellow-red, small-large, large-small}

Answer

{red-small, red-large, yellow-small}

Question 8

A number is 1 or 2, then a direction is north, east, or south. What organized list shows the sample space?

Accepted Answer

{1-north, 1-east, 1-south, 2-north, 2-east, 2-south}

Answer

{1, 2, north, east, south}

Answer

{1-north, 1-east, 2-south}

Answer

{1-2, north-east, east-south, south-north}

Question 9

A pet is cat, dog, or fish, then a collar color is red or blue. What organized list shows the sample space?

Accepted Answer

{cat-red, cat-blue, dog-red, dog-blue, fish-red, fish-blue}

Answer

{cat, dog, fish, red, blue}

Answer

{cat-red, dog-red, fish-red}

Answer

{cat-dog, dog-fish, red-blue, blue-red}

Question 10

A sandwich is turkey or cheese, then the side is carrots or apple. What organized list shows the sample space?

Accepted Answer

{turkey-carrots, turkey-apple, cheese-carrots, cheese-apple}

Answer

{turkey, cheese, carrots, apple}

Answer

{turkey-cheese, cheese-turkey, carrots-apple, apple-carrots}

Answer

{turkey-carrots, cheese-apple}

Question 11

A shape is square or circle, then a coin lands H or T. What organized list shows the sample space?

Accepted Answer

{square-H, square-T, circle-H, circle-T}

Answer

{square, circle, H, T}

Answer

{square-circle, circle-square, HH, TT}

Answer

{square-H, circle-T}

Question 12

A folder is purple, orange, or gray, then a sticker is star or moon. What organized list shows the sample space?

Accepted Answer

{purple-star, purple-moon, orange-star, orange-moon, gray-star, gray-moon}

Answer

{purple, orange, gray, star, moon}

Answer

{purple-star, orange-star, gray-star}

Answer

{purple-orange, orange-gray, star-moon, moon-star}

Question 13

A bus route is A or B, then the stop is 1, 2, or 3. What organized list shows the sample space?

Accepted Answer

{A1, A2, A3, B1, B2, B3}

Answer

{A, B, 1, 2, 3}

Answer

{A1, A2, B1, B2}

Answer

{AB, BA, 12, 23, 31}

Question 14

A quiz version is X or Y, then a pencil is regular or mechanical. What organized list shows the sample space?

Accepted Answer

{X-regular, X-mechanical, Y-regular, Y-mechanical}

Answer

{X, Y, regular, mechanical}

Answer

{X-Y, Y-X, regular-mechanical, mechanical-regular}

Answer

{X-regular, Y-mechanical}

Question 15

Breakfast is oatmeal or toast; drink is milk, water, or juice. A table lists oatmeal-milk, oatmeal-water, oatmeal-juice, toast-milk, toast-water. What outcome is missing?

Accepted Answer

toast-juice

Answer

oatmeal-milk

Answer

milk-water

Answer

toast-oatmeal

Question 16

Day is Monday or Tuesday; activity is art, music, or gym. A table lists Monday-art, Monday-music, Monday-gym, Tuesday-art, Tuesday-music. What outcome is missing?

Accepted Answer

Tuesday-gym

Answer

Monday-art

Answer

art-music

Answer

Tuesday-Monday

Question 17

Toy is car or ball; color is red, green, or blue. A table lists car-red, car-green, car-blue, ball-red, ball-green. What outcome is missing?

Accepted Answer

ball-blue

Answer

car-red

Answer

red-green

Answer

ball-car

Question 18

Ticket is child, adult, or senior; snack is popcorn or candy. A table lists child-popcorn, child-candy, adult-popcorn, adult-candy, senior-popcorn. What outcome is missing?

Accepted Answer

senior-candy

Answer

adult-candy

Answer

child-senior

Answer

popcorn-candy

Question 19

Path is left or right; prize is sticker, book, or pencil. A table lists left-sticker, left-book, left-pencil, right-sticker, right-book. What outcome is missing?

Accepted Answer

right-pencil

Answer

left-pencil

Answer

right-left

Answer

book-pencil

Question 20

A coin lands H or T; spinner shows 1, 2, or 3. A table lists H1, H2, H3, T1, T2. What outcome is missing?

Accepted Answer

T3

Answer

H1

Answer

HT

Answer

23

Question 21

Meal is taco or pasta; sauce is mild, hot, or green. A table lists taco-mild, taco-hot, taco-green, pasta-mild, pasta-hot. What outcome is missing?

Accepted Answer

pasta-green

Answer

taco-green

Answer

mild-hot

Answer

pasta-taco

Question 22

Team is red, blue, or white; ball is small or large. A table lists red-small, red-large, blue-small, blue-large, white-small. What outcome is missing?

Accepted Answer

white-large

Answer

blue-large

Answer

red-white

Answer

small-large

Question 23

Cube is wooden or plastic; bag is pink, black, or yellow. A table lists wooden-pink, wooden-black, wooden-yellow, plastic-pink, plastic-black. What outcome is missing?

Accepted Answer

plastic-yellow

Answer

wooden-yellow

Answer

pink-black

Answer

plastic-wooden

Question 24

Chore is dishes or laundry; time is morning, afternoon, or evening. A table lists dishes-morning, dishes-afternoon, dishes-evening, laundry-morning, laundry-afternoon. What outcome is missing?

Accepted Answer

laundry-evening

Answer

dishes-evening

Answer

morning-afternoon

Answer

laundry-dishes

Question 25

Flavor is vanilla, chocolate, or strawberry; topping is nuts or sprinkles. A table lists vanilla-nuts, vanilla-sprinkles, chocolate-nuts, chocolate-sprinkles, strawberry-nuts. What outcome is missing?

Accepted Answer

strawberry-sprinkles

Answer

chocolate-sprinkles

Answer

vanilla-strawberry

Answer

nuts-sprinkles

Question 26

Station is A or B; tool is ruler, calculator, or compass. A table lists A-ruler, A-calculator, A-compass, B-ruler, B-calculator. What outcome is missing?

Accepted Answer

B-compass

Answer

A-compass

Answer

A-B

Answer

ruler-calculator

Question 27

Level is easy or hard; character is wizard, robot, or alien. A table lists easy-wizard, easy-robot, easy-alien, hard-wizard, hard-robot. What outcome is missing?

Accepted Answer

hard-alien

Answer

easy-alien

Answer

wizard-robot

Answer

hard-easy

Question 28

A spinner has 4 colors, then a coin lands heads or tails. How should the tree diagram branch?

Accepted Answer

4 first branches, each splitting into 2 second branches

Answer

2 first branches, each splitting into 4 second branches

Answer

4 first branches, each splitting into 4 second branches

Answer

6 first branches with no second branches

Question 29

A student chooses 1 of 2 sandwiches, then 1 of 3 drinks. How should the tree diagram branch?

Accepted Answer

2 first branches, each splitting into 3 second branches

Answer

3 first branches, each splitting into 2 second branches

Answer

2 first branches, each splitting into 2 second branches

Answer

5 first branches with no second branches

Question 30

A number cube shows 1 through 6, then a card A or B is picked. How should the tree diagram branch?

Accepted Answer

6 first branches, each splitting into 2 second branches

Answer

2 first branches, each splitting into 6 second branches

Answer

6 first branches, each splitting into 6 second branches

Answer

8 first branches with no second branches

Question 31

A student chooses 1 of 3 classes, then 1 of 4 projects. How should the tree diagram branch?

Accepted Answer

3 first branches, each splitting into 4 second branches

Answer

4 first branches, each splitting into 3 second branches

Answer

3 first branches, each splitting into 3 second branches

Answer

7 first branches with no second branches

Question 32

A student selects 1 of 5 pencils, then an eraser that is pink or green. How should the tree diagram branch?

Accepted Answer

5 first branches, each splitting into 2 second branches

Answer

2 first branches, each splitting into 5 second branches

Answer

5 first branches, each splitting into 5 second branches

Answer

7 first branches with no second branches

Question 33

A coin lands heads or tails, then a spinner lands on red, blue, or green. How should the tree diagram branch?

Accepted Answer

2 first branches, each splitting into 3 second branches

Answer

3 first branches, each splitting into 2 second branches

Answer

2 first branches, each splitting into 2 second branches

Answer

5 first branches with no second branches

Question 34

A student chooses 1 of 4 books, then a bookmark that is red, blue, or yellow. How should the tree diagram branch?

Accepted Answer

4 first branches, each splitting into 3 second branches

Answer

3 first branches, each splitting into 4 second branches

Answer

4 first branches, each splitting into 4 second branches

Answer

7 first branches with no second branches

Question 35

A sock is black or white, then a shoe is left or right. How should the tree diagram branch?

Accepted Answer

2 first branches, each splitting into 2 second branches

Answer

4 first branches with no second branches

Answer

4 first branches, each splitting into 2 second branches

Answer

2 first branches, each splitting into 4 second branches

Question 36

A 3-section spinner is spun, then 1 of 5 tokens is chosen. How should the tree diagram branch?

Accepted Answer

3 first branches, each splitting into 5 second branches

Answer

5 first branches, each splitting into 3 second branches

Answer

3 first branches, each splitting into 3 second branches

Answer

8 first branches with no second branches

Question 37

A route is north or south, then a meeting time is 1, 2, 3, or 4. How should the tree diagram branch?

Accepted Answer

2 first branches, each splitting into 4 second branches

Answer

4 first branches, each splitting into 2 second branches

Answer

2 first branches, each splitting into 2 second branches

Answer

6 first branches with no second branches

Question 38

A student picks 1 of 6 tiles, then a shape that is circle, square, or triangle. How should the tree diagram branch?

Accepted Answer

6 first branches, each splitting into 3 second branches

Answer

3 first branches, each splitting into 6 second branches

Answer

6 first branches, each splitting into 6 second branches

Answer

9 first branches with no second branches

Question 39

A student chooses 1 of 3 folders, then a sticker that is star or moon. How should the tree diagram branch?

Accepted Answer

3 first branches, each splitting into 2 second branches

Answer

2 first branches, each splitting into 3 second branches

Answer

3 first branches, each splitting into 3 second branches

Answer

5 first branches with no second branches

Question 40

A number cube shows 1 through 6, then a spinner lands on 1 of 4 colors. How should the tree diagram branch?

Accepted Answer

6 first branches, each splitting into 4 second branches

Answer

4 first branches, each splitting into 6 second branches

Answer

6 first branches, each splitting into 6 second branches

Answer

10 first branches with no second branches

BLASTROOM

BLASTROOM

BLASTROOM

Sample Spaces for Compound Events

Ways to Play

Device Games: Students play on their phones

Blast Go

Zombie Escape

Avalanche

Maze Blast

Cave Climb

Blast Out

Mystery Auction

Tour Guide

Food Truck Rush

Tug of War

Alien Blast

Glacier Rush

Board Games: Teacher-led, projected to the class

Like what you see?

Bug Blast

BlastRace

BlastQuiz

BlastBoard

Seek & Destroy

Mystery Blast

Checkers

Texas Hold 'Em

Da Bomb

Castle Siege

Hot Potato

Market Mayhem

King of the Hill

Bank Heist

Top Corner

Sample Spaces for Compound Events

Ways to Play

Device Games: Students play on their phones

Blast Go

Zombie Escape

Avalanche

Maze Blast

Cave Climb

Blast Out

Mystery Auction

Tour Guide

Food Truck Rush

Tug of War

Alien Blast

Glacier Rush

Board Games: Teacher-led, projected to the class

Like what you see?

More like this

Bug Blast

BlastRace

BlastQuiz

BlastBoard

Seek & Destroy

Mystery Blast

Checkers

Texas Hold 'Em

Da Bomb

Castle Siege

Hot Potato

Market Mayhem

King of the Hill

Bank Heist

Top Corner