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Middle Years

7.01 Sample space

Worksheet
Sample spaces
1

List all the possible outcomes when a coin is tossed.

2

List all the possible outcomes when a standard six sided die is rolled.

3

A card is selected from a standard deck of 52 cards:

a

List the sample space for the suits that can be picked from the deck of cards.

b

List the sample space for the type of 'picture cards' that can be picked from the deck.

c

List the sample space for the colours of cards that can be picked the deck.

d

How many different colour outcomes are there in the sample space?

4

If Manpreet picks a whole number between (and including) 3 and 7, list the sample space of possible numbers Manpreet may have picked.

5

Irene picks an even number at random between (and including) 1 and 11. List the sample space of possible numbers Irene could pick.

6

If Jack picks an odd number between (and including) 4 and 8, write down the sample space.

7

Consider the given spinner:

List the sample space for the possible colours that could occur if the spinner is spun.

8

Uther rolled a standard six-sided die.

a

List all the numbers that the die may land on.

b

Uther rolled a number less than 3. List all the numbers that he could have rolled.

9

A standard six-sided die is rolled.

a

List the sample space.

b

List the sample space for rolling a number strictly less than 3.

c

List the sample space for rolling a number divisible by 3.

d

List the sample space for rolling an even number.

10

The following jar contains 7 red, 3 blue and 10 green marbles:

If a marble is drawn out of the jar without looking, list the sample space of all the possible colours that the marble might be.

11

Here is the pizza menu from Mario’s Pizzeria:

Which option is NOT in the sample space of pizza topping options: Seafood, Mexicana, Satay chicken, or Cheese?

2D Grids
12

Two coins are tossed at the same time.

a

Display the sample space in a 2D grid.

b

How many different outcomes are possible?

c

Find the probability of tossing a heads and a tail.

13

A coin and a six-sided die are thrown at the same time.

a

Display the sample space in a 2D grid.

b

How many different outcomes are possible?

14

Ben has 3 shirts, each in a different colour: crimson (C), pink (P) and white (W), and 4 ties, each in a different colour: blue (B), grey (G), red (R) and yellow (Y).

a

Complete the table to show the sample space of the possible combinations Ben could wear.

b

Construct a 2D grid to show the sample space of the possible combinations Ben could wear.

c

How many different combinations are possible?

CP
BC,BP,B
G G,W
R P,RW,R
C,YP,Y
15

The following spinner is spun and a six-sided die is rolled at the same time:

a

Construct a 2D grid to display the sample space.

b

How many different outcomes are possible?

c

Find the probability of getting two even numbers.

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