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Probability

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

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This is level 2: calculating the probability of a single event occuring from a two-way table.  Type in your answers as fractions in their lowest terms.  You can earn a trophy if you get at least 7 questions correct.

The following table shows the results of a survey in which group of people were asked which was their favourite drink.

 Fruit JuiceTeaCoffeeOtherTotal
Children418546100
Adults1316153680
Total54242082180

One person is picked from the group at random.

Calculate the probability that the person picked was a child.

Correct Wrong

Calculate the probability that the person picked said that their favourite drink was tea.

Correct Wrong

Calculate the probability that the person picked said that their favourite drink was coffee.

Correct Wrong

Calculate the probability that the person picked said that their favourite drink was something other than fruit juice.

Correct Wrong

One of the adults is picked at random. What is the probability that their favourite drink was fruit juice?

Correct Wrong

One of the adults is picked at random. What is the probability that their favourite drink was coffee?

Correct Wrong

One of the children is picked at random. What is the probability that their favourite drink was tea?

Correct Wrong

One of the people who said their favourite drink was tea is picked at random. What is the probability that they were an adult?

Correct Wrong

One of the people who said their favourite drink was coffee is picked at random. What is the probability that they were a child?

Correct Wrong

A person is picked at random. What is the probability that this person is not a child whose favourite drink is fruit juice?

Correct Wrong

Check

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

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?

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"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

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Colour the sweet wrappers so that no two are the same. A multi-level activity designed to encourage a systematic strategy for finding all of the different permutations.

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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.

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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.

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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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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.

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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

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