Transum Software

Probability

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

  Menu   Level 1 Level 2 Level 3 Level 4 Level 5 Tree Diagrams   Exam     Help     More  

This is level 5: calculating probability of an event occuring by listing all the possible outcomes.  Type in your answers as fractions in their lowest terms.  You can earn a trophy if you get at least 7 questions correct.

Probability question
Correct Wrong

The Tofflemeir family have three children. They were born in different years. What is the probability that the oldest and youngest children are girls but the middle child is a boy?

Correct Wrong

Elaine is in London for one day only. She only has time to see two shows of the three shows she likes. The shows are Hamilton, Aladdin and Thriller. She makes her choice of the two shows at random. What is the probability that she sees Aladdin and Thriller?

Correct Wrong

Probability question
Correct Wrong

With the letters used in the previous question, what is the probability that the letters will not spell BIRD when randomly laid out in a line?

Correct Wrong

If the letters of the word LOOP are laid out in a random order, what is the probability they will spell POOL?

Correct Wrong

Probability question
Correct Wrong

With the letters used in the previous question, what is the probability that the first letter (the one on the left) will be M when randomly laid out in a line?

Correct Wrong

Again using those five letters, what is the probability that the first two letters will be M and O in that order when randomly laid out in a line?

Correct Wrong

If the letters of the word RESCUE are laid out in a random order, what is the probability they will spell SECURE?

Correct Wrong

Check

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

Instructions

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 s /Indice 'Starter of the Day' page by Busolla, Australia:

"Thank you very much for providing these resources for free for teachers and students. It has been engaging for the students - all trying to reach their highest level and competing with their peers while also learning. Thank you very much!"

Comment recorded on the 3 October 'Starter of the Day' page by Mrs Johnstone, 7Je:

"I think this is a brilliant website as all the students enjoy doing the puzzles and it is a brilliant way to start a lesson."

Each month a newsletter is published containing details of the new additions to the Transum website and a new puzzle of the month.

The newsletter is then duplicated as a podcast which is available on the major delivery networks. You can listen to the podcast while you are commuting, exercising or relaxing.

Transum breaking news is available on Twitter @Transum and if that's not enough there is also a Transum Facebook page.

Featured Activity

Without Lifting

Without Lifting

Can you draw these diagrams without lifting your pencil from the paper? This is an interactive version of the traditional puzzle. Some diagrams are possible while others are not. What is the rule?

Answers

There are answers to this exercise but they are available in this space to teachers, tutors and parents who have logged in to their Transum subscription on this computer.

A Transum subscription unlocks the answers to the online exercises, quizzes and puzzles. It also provides the teacher with access to quality external links on each of the Transum Topic pages and the facility to add to the collection themselves.

Subscribers can manage class lists, lesson plans and assessment data in the Class Admin application and have access to reports of the Transum Trophies earned by class members.

If you would like to enjoy ad-free access to the thousands of Transum resources, receive our monthly newsletter, unlock the printable worksheets and see our Maths Lesson Finishers then sign up for a subscription now:

Subscribe

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.

Teachers

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.

It may be worth remembering that if Transum.org should go offline for whatever reason, there is a mirror site at Transum.info that contains most of the resources that are available here on Transum.org.

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

Transum.org is a proud supporter of the kidSAFE Seal Program

© Transum Mathematics 1997-2024
Scan the QR code below to visit the online version of this activity.

This is a QR Code

https://www.Transum.org/go/?Num=140

Description of Levels

Close

Close

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.

Log in Sign up

Curriculum Reference

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

Example

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 ♠

Hearts

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

Close

Close