Probability

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.

	You are learning this because future ideas are built on previous ideas and the more ideas you learn the more power you have to learn anything, ever! The world's best football player engages in rigorous training, practicing skills repeatedly to prepare for the big game. While the specific actions rehearsed during these exercises are rarely needed in the match, the very process of performing these drills enhances their overall prowess as a top player. more...	More Activities: Maths Map Go Maths Games Puzzles Times Tables TablesMaster iPad Maths Investigations Exam Questions
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 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." Comment recorded on the 28 May 'Starter of the Day' page by L Smith, Colwyn Bay: "An absolutely brilliant resource. Only recently been discovered but is used daily with all my classes. It is particularly useful when things can be saved for further use. Thank you!"		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.
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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.
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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.

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.

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

A fair dice is rolled 240 times. How many times would you expect it to land with a five on top?
Another fair dice is rolled 300 times. How many times would you expect it to land with a multiple of three on top?
The probability of a football team winning a game is three fifths. If they play 25 games in a season, how many games would you expect them to win?
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 66 times, how many times would he be expected take out: (a) a blue ball;
(b) a ball that is not blue;
(c) a yellow ball
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?
The probability of a vaccine being effective is 0.7 according to scientific tests. 800 volunteers are injected with the vaccine. In how many of these volunteers would you expect the vaccine to be effective?
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?
The probability of a car turning right at a particular road junction is twice that of the car turning left. If 417 cars pass through the junction one day, how many would be expected to turn right?

Probability

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

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Instructions

More Activities:

Featured Activity

Numskull

Answers

Go Maths

Maths Map

Teachers

Description of Levels

Curriculum Reference

Example