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Test your understanding of probability and the 0-1 probability scale with this self marking quiz.

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This is level 3: calculating the probability of a single event occuring then deciding the expected number of times it will occur in a given number of trials.  You can earn a trophy if you get at least 7 questions correct.

A fair dice is rolled 240 times. How many times would you expect it to land with a five on top?

Correct Wrong

Another fair dice is rolled 300 times. How many times would you expect it to land with a multiple of three on top?

Correct Wrong
Football player

The probability of a football team winning a game is three fifths. If they play 35 games in a season, how many games would you expect them to win?

Goal Posts
Correct Wrong

A bag contains 3 blue balls, 7 red balls and 1 green ball. Joe takes out one ball at random and then puts it back. If he does this 77 times, how many times would he be expected take out:

(a) a blue ball;Bag and balls

Correct Wrong

(b) a ball that is not blue;

Correct Wrong

(c) a yellow ball

Correct Wrong

There's a 30% chance of it raining each day in Narnia. On how many days would you expect it to rain during your visit there that lasts 90 days?

Correct Wrong

The probability of a vaccine being effective is 0.7 according to scientific tests. 1300 volunteers are injected with the vaccine. In how many of these volunteers would you expect the vaccine to be effective?

Correct Wrong

The probability of a certain flower having eight petals is 0.45. In a randomly selected batch of 300 of these flowers how many would be expected not to have eight petals?

Correct Wrong

The probability of a car turning right at a particular road junction is twice that of the car turning left. If 306 cars pass through the junction one day, how many would be expected to turn right?

Correct Wrong

This is Probability level 3. You can also try:
Level 1 Level 2 Level 4 Level 5


Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

Why am I learning this?

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

Comment recorded on the 16 March 'Starter of the Day' page by Mrs A Milton, Ysgol Ardudwy:

"I have used your starters for 3 years now and would not have a lesson without one! Fantastic way to engage the pupils at the start of a lesson."

Comment recorded on the 1 May 'Starter of the Day' page by Phil Anthony, Head of Maths, Stourport High School:

"What a brilliant website. We have just started to use the 'starter-of-the-day' in our yr9 lessons to try them out before we change from a high school to a secondary school in September. This is one of the best resources on-line we have found. The kids and staff love it. Well done an thank you very much for making my maths lessons more interesting and fun."

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Featured Activity

Nine Digits

Nine Digits

Arrange the given digits one to nine to make three numbers such that two of them add up to the third. This is a great puzzle for practicing standard pen and paper methods of three digit number addition and subtraction.


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Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

Maths Map

Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.


If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

Alternatively, if you use Google Classroom, all you have to do is click on the green icon below in order to add this activity to one of your classes.

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When planning to use technology in your lesson always have a plan B!

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Description of Levels



Level 1 - Calculating the probability of a single event occuring

Level 2 - Calculating the probability of a single event occuring from a two-way table

Level 3 - Calculating the probability of a single event occuring then deciding the expected number of times it will occur in a given number of trials

Level 4 - Finding the probability of a combined event occuring by drawing a table to represent the possibility space

Level 5 - Calculating probability of an event occuring by listing all the possible outcomes

Exam Style questions are in the style of GCSE or IB/A-level exam paper questions and worked solutions are available for Transum subscribers.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Curriculum Reference

See the National Curriculum page for links to related online activities and resources.


Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Log in Sign up

If you are not familiar with standard playing cards here is a guide.

There are 52 cards in a pack (usually called a deck). The cards are grouped into four suits of 13 cards each. these suits are called clubs, diamonds, hearts and spades. Click on a tab below to see the cards in each of these suits.

Hearts ♥ Diamonds ♦ Clubs ♣ Spades ♠


Ace of Hearts

Two of Hearts

Three of Hearts

Four of Hearts

Five of Hearts

Six of Hearts

Seven of Hearts

Eight of Hearts

Nine of Hearts

Ten of Hearts

Jack of Hearts

Queen of Hearts

King of Hearts