# Probability

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

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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.

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?

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?

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?

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

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?

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?

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

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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.

## More Activities:

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 19 October 'Starter of the Day' page by E Pollard, Huddersfield:

"I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information."

Comment recorded on the 6 May 'Starter of the Day' page by Natalie, London:

"I am thankful for providing such wonderful starters. They are of immence help and the students enjoy them very much. These starters have saved my time and have made my lessons enjoyable."

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#### Shunting Puzzles

These puzzles are Transum's versions of the shunting or switching puzzles made popular by train enthusiasts and logic puzzle solvers.

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.

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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.

## 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!

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

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Scan the QR code below to visit the online version of this activity.

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

## Description of Levels

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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.

## 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.

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 ♥ 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

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