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12.01 The language of probability

Worksheet
Language of probability
1

Describe the likelihood that matches the following situations:

a

Winning the lottery.

b

Next week will have 8 days.

c

Flipping tails with a coin.

d

Rolling a 3 on a standard die.

2

Describe the likelihood that matches the following probabilities:

a

A probability of 0.2.

b

A probability of 0.9.

c

A probability of 0.5.

d

A probability of 0.

e

A probability of \dfrac{1}{10}.

f

A probability of \dfrac{8}{10}.

g

A probability of 1.

3

Estimate the probability of the following events to one decimal place:

a

You will flip tails in a coin toss.

b

You will score 110\% on the next maths test.

c

It will rain somewhere in Australia tomorrow.

d

The sun will not come up tomorrow.

e

The sun will come up tomorrow.

f

You’ll fly to the moon tomorrow.

g

You'll fly a rocket to school.

h

You'll get a 5 after rolling a standard die.

i

You’ll pick a heart, a diamond or a club out of a deck of cards.

Sample space
4

Consider the pizza menu from Mario’s Pizzeria:

State whether each of the following toppings is available for Ben to choose:

a

Seafood

b

Mexicana

c

Cheese

d

Satay chicken

5

A card is selected from a standard deck of 52 cards (no Jokers included). How many colour outcomes are there in the sample space?

6

List all possible outcomes when a coin is flipped.

7

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

8

Consider the following spinner:

If the spinner is spinned, list all the possible colours the spinner could land on.

9

A jar contains 3 red marbles \left(R\right) and 4 blue marbles \left(B\right).

List the sample space for the colour of one marble selected from the jar.

10

Irene picks a whole number at random between 3 and 7 inclusive. List the sample space of possible numbers Irene could pick.

11

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.

12

A standard six-sided die is rolled.

a

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

b

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

c

List the sample space for rolling an even number.

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Outcomes

MS11-2

represents information in symbolic, graphical and tabular form

MS11-7

develops and carries out simple statistical processes to answer questions posed

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