Aussie Maths & Science Teachers: Save your time with SmarterEd
Blinky is blowing up balloons for a birthday party.
The number of blown up balloons of each colour is recorded in the table below.
Blinky picks one balloon without looking and gives it to the first person who arrives at the party.
What is the chance it is white?
Marie has a bag containing various coloured balls.
Marie grabs a coloured ball from the bag and records the colour.
She then puts the ball back into the bag and repeats this process a number of times.
Using the table, what is the probability that the next ball picked out by Marie will be yellow? (2 marks)
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Jackson spins a wheel with 5 different coloured sections and records which colour it lands on each time.
He repeats the process multiple times.
The table below shows the results.
Using the table, what is the probability that the next spin will be Blue? (2 marks)
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The two spinners shown are used in a game.
Each arrow is spun once. The score is the total of the two numbers shown by the arrows.
A table is drawn up to show all scores that can be obtained in this game.
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Two unbiased dice,
The numbers on the uppermost faces are noted. This table shows all the possible outcomes.
A game is played where the difference between the highest number showing and the lowest number showing on the uppermost faces is calculated.
What is the probability that the difference between the numbers showing on the uppermost faces of the two dice is one? (2 marks)
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A random sample of people were asked what is their favourite winter sport.
The table below recorded the results.
Using the data from the survey, predict how many people would choose rugby league if 2000 people were surveyed. (2 marks)
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In any standard six-sided dice, the sum of the opposite faces is 7.
Milo rolls 3 dice and the total of the top faces is 5.
What is the sum of the three opposite faces? (2 marks)
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Mandy surveyed all year 7 students about their favourite flavour of milkshake.
Which flavour did 4 out of 10 year 7 students choose as their favourite? (2 marks)
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Maxi and Jim are playing a dice game.
They have two standard 6-sided dice.
One of the die is white and the other is grey.
Maxi needs to roll a total of 11 to win.
There are two different ways she can roll a total of 11 as shown.
Jim has to roll a 6 to win.
How many different ways can Jim roll a total of 6? (1 mark)
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Rachel has a bag that contains 6 blue and 4 green balls.
She selects one ball at random and records its colour. The ball is then put back into the bag.
Rachel does this 50 times.
How many times should Rachel expect to select a green ball from the bag? (2 marks)
Sharon made 24 milkshakes at her nephew's birthday party. The milkshakes were either vanilla or chocolate.
All the milkshakes were served in an aluminium cup and looked the same.
Murray took one milkshake and had a 1 in 8 chance of taking a vanilla milkshake.
How many chocolate milkshakes did Sharon make? (2 marks)
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A standard six-sided dice is rolled once.
What is the probability that the number on the top face is a factor of 4?
Albert has 50 marbles in a bag.
He records the colour of each marble in the table below.
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Ronald rolled a standard dice 80 times.
He recorded if an odd or even number was rolled, each time, and wrote the results in the table below.
What is the difference between the expected number of odd rolls and the actual number recorded? (2 marks)
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Aurora rolls a standard six-sided die.
Which of the following events has a probability of less than 0.5?
Archer did a survey of his class, asking everyone what their favourite ice cream flavour is.
This table below shows the results.
What is the probability that a randomly selected classmate's favourite flavour is chocolate?
Round your answer to the nearest hundredth. (2 marks)
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Claire baked 18 cookies.
She baked equal numbers of chocolate chip, macadamia nut and plain cookies.
Claire randomly picked one of the cookies.
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Elodie turns over the cards below and mixes them up.
She selects one at random.
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Bryce has a bag of marbles. 80% of his marbles are red.
Bryce takes a yellow marble from his bag and loses it in a game.
If he takes another marble from the bag without looking, what are the chances it is red?
A school canteen has two different types of sandwiches.
There are 14 chicken sandwiches and 11 vegemite sandwiches.
The canteen sells one sandwich to each of the first five students in line at lunch time.
The table shows the type of sandwich the first five students buy.
Dom is next in line and asks for a sandwich but doesn't care which type.
What is the chance that Dom is given chicken sandwich? Give your answer as a percentage. (2 marks)
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A spinner can land in any of 4 sections, labelled 1 to 4.
The spinner is spun 100 times and the results are recorded in the bar chart below.
Which of these spinners is most likely to give results shown in the graph?
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There are 50 coloured jelly beans in a bag. Twenty four jelly beans are green, the others are yellow.
Wayne picks a jelly bean from the bag without looking.
What is the chance of Wayne picking a green jelly bean? (1 mark)
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Francine has a bag of marbles.
The number of marbles of each colour is recorded in the table below.
Francine randomly takes 1 marble out of her bag without looking.
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Which spinner does not show a 50-50 chance of landing on the
Bellamy creates a game with the spinner shown below.
If the spinner lands on a 3, he wins a prize.
What is the probability that Bellamy will win a prize on his next spin? (1 mark)
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A car dealership contains 12 black, 8 red, 10 blue, 16 silver and 4 white cars.
Walter wears a blindfold and chooses one car at random.
What is the chance that the car is blue? (2 marks)
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Luigi spins these two arrows. He then adds the numbers in the sections where the arrows stop to get the total score.
How many different ways can Luigi get a total of 7? (2 marks)
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Spiro spins the arrow of this spinner 40 times.
He records the number of times the arrow lands on each number.
Which table records the most likely results?
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Peter has a marble bag that contains 20 marbles that are either red or green in colour.
The probability of randomly picking a green marble is 70%.
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Ryan has white and black marbles in his bag.
If he chooses a marble from the bag without looking he is likely, but not certain, to get a white marble.
Which is Ryan's bag?
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Shirley uses this net to make a dice.
She rolls the dice once.
What is the chance that Shirley will roll a 2? Give your answer in simplest fraction form. (2 marks)
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Shane rolls a standard 6-sided dice once.
Which of the following is Shane most likely to roll?
Tony can spin an arrow on any of the spinners below.
Which spinner gives Tony the best chance of landing on a number 2?
Claudia gets to ring the school bell once every 5 school days.
Today is a school day.
What is the probability that Claudia will ring the school bell?
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Bonny draws the number 1 or 2 on a group of discs, as pictured below.
One disc is chosen at random.
What is the chance the disc has a 2 drawn on it? (1 mark)
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There are 20 raffle tickets, numbered 1 to 20, in a box.
Three prizes are given away by choosing three tickets from the box. Each ticket can win only one prize.
The first ticket drawn is number 15 and it wins the third prize.
Which of the following is not possible?
Jenny and Sam play a board game with the spinner shown.
Jenny spins the arrow.
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A spinner is spun once.
Each shape on the wheel has an equal chance.
What is the chance that the spinner lands on the triangle 
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Kip spins the arrow on two identical spinners.
The arrow on each spinner is equally likely to land on 1, 2 or 3.
If Kip adds up the two results, which total is he least likely to get?
Dennis is a fast bowler. In a cricket game, the chance of him getting a wicket on a given ball is unlikely.
Which probability best describes Dennis' chance of getting a wicket from one particular ball?
The Rural Fire Service issued a statement that the chance of bushfires on a given day was extremely likely.
Which probability below best describes the chance of bushfires?
In a high school, all the boys were asked their favourite sport and the top five results were put in the table below.
Which of these statements is true of a boy who goes to the high school?
The weather report says there is 80% chance of rain tomorrow.
Which of these describes the chance of it raining tomorrow?
Mick has a bag of marbles. His marbles are orange, white, blue and green.
Mick picks one marble from his bag.
Which of the following could be the probability that the marble he picks is green.
Two identical spinners are spun at the same time and the two numbers they land on are added up.
Which total is most likely?
A small disc is thrown onto the grid pictured below.
The disc has an equal chance of landing in any square.
Which numbered square is the disc least likely to land in?
A spinning wheel has sections labelled with different numbers.
If the spinner has an equal chance of landing in each section, which of the numbers is the spinner most likely to land on?
A standard deck of 52 cards is made up of four suits - Hearts, Diamonds, Clubs and Spades.
Each suit contains 13 cards that include an Ace, King, Queen and Jack, together with numbered cards from 2 to 10.
Lara has a standard deck of cards and without looking, picks a number 7 and returns it to the deck.
She repeats this three times and draws a number 7 each time.
If she draws a 4th card without looking, which of the following is true?
Eight buttons, numbered 1 to 8, are placed in a bag.
Robin picks three buttons out of the bag without looking.
Once chosen, a button is not put back into the bag.
The first button is number 2.
Which of the following cannot happen?
Shapes are drawn on the balls below and placed in a bag.
Billy reaches into the bag and takes out a ball without looking.
Which type of ball is he least likely to take out?
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These identical numbered discs were in a bag.
Julio selected one disc.
What is the chance that the disc Julio selected had a number less than 10 on it?
\(\text{Therefore, the chance of a number being selected
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A statistic shows that on a certain highway the chance of an accident happening on any day is 5%.
Which of the following describes the chance of having an accident today?
These identical numbered discs were in a bag.
Gay selected one disc.
What is the chance that the disc Gay selected had a 7 on it?
Judge recorded 2 hourly temperatures from the Bureau of Meteorology for his home town, for a 24 hour period beginning at midnight.
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ii. 9:30 a.m. (1 mark)
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iii. 5:00 p.m. (1 mark)
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The stem-and-leaf plot shows the number of koalas in a wildlife sanctuary each day during two weeks of bush fires.
On how many days were there at least 30 koalas in the sanctuary?
Students at a high school were surveyed to find whether they did exercise before school.
The graph below shows the results.
There were 150 17-year-old students at the high school.
How many 17-year-old students responded 'Every Day'?
