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Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

• Venn Worksheet A collection of worksheets all related to the regions in Venn diagrams and the set notation describing them (answers included)
• Predictive Survey An eight question survey collecting data for an amazing probability experiment.
• Venn Totals Practise reading and creating Venn diagrams containing two and three sets and the number of elements in those sets.
• Venn Paint Video Here is a demonstration of how to illustrate union, intersection and complement of sets as they appear in Venn diagrams.
• Tree Diagram Creator Quickly create a probability tree diagram to use as a visual aid.
• Tree Diagrams Video Tree diagrams can be really helpful showing combinations of two or more events in order to calculate probabilities.
• Venn Paint Flood fill the regions of the Venn diagrams according to the given statements.
• Tree Diagrams Calculate the probability of independent and dependent combined events using tree diagrams.
• Conditional Probability Find the probability of one event happening given that another event has already happened.

Here are some exam-style questions on this statement:

• "The midnight train to Georgia is not the most reliable. The probability that the train will be late on any day is 0.35" ... more
• "Carol has two fair 5-sided spinners. One spinner is pink and the other is green." ... more
• "Near Blizzard Lodge on any day the probability that it snows is \( \frac{1}{4} \)." ... more
• "A driving test has two sections, practical(p) and theory(t). One day everyone who took the test passed at least one section. 77% passed the practical section and 81% passed the theory section." ... more
• "The Venn diagram represents a collection of 40 books on sale in an online store." ... more
• "At an international conference there were 300 delegates from both the northern and southern hemispheres. Each delegate wore a t-shirt in one of three different colours:" ... more
• "80 students are asked if they like History (\(H\)) and if they like Geography (\(G\))." ... more
• "Sumville has three newspapers: The Chronicle, The Express and Moon, and The Scribe." ... more
• "900 professional footballers were surveyed with the following results" ... more
• "Julie chooses a cake from a yellow box on a shelf. The box contains two chocolate cakes and three plain cakes. She eats the cake and chooses another one from the box. The tree diagram below represents the situation with the four possible outcomes where C stands for chocolate cake and P for plain cake." ... more
• "Mathsland's national currency comes in denominations of 1 unit, 5 units, 10 units and 50 units. Sofya places this collection of these coins in her purse then, without looking, takes out two coins at random, one after the other." ... more

See all these questions

Here are some Advanced Starters on this statement:

• Bertrand's Box Paradox
  Bertrand's box paradox is a paradox of elementary probability theory, first posed by Joseph Bertrand in 1889 more
• Other Child's Gender
  What is the probability that the other child is also a boy? more
• Singers and Dancers
  What fraction of the singers and dancers are both singers and dancers? more
• Tri-Junction
  A real life situation that can be analysed with the use of a tree diagram. more
• Two Pots
  Use tree diagrams to find the surprising result that probabilities of different situations are the same. more
• What Question?
  Write down all the possible questions that could have been asked if this was the Venn diagram provided in a mathematics exam. more

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

• Probability Probability is a measure of the weight of evidence, and is arrived at through reasoning and inference. In simple terms it is a measure or estimation of likelihood of the occurrence of an event. The word probability comes from the Latin word probabilitas which is a measure of the authority of a witness in a legal case. Some of the earlier mathematical studies of probability were motivated by the desire to be more profitable when gambling. Today however the practical uses of probability theory go far beyond gambling and are used in many aspects of modern life. We believe that even adults can, in many cases, have a poor intuition regarding the effects of probability. These activities are designed to help pupils calculate but also get a 'feel' for the principles of probability.