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These are the Transum resources related to the statement: "Understand and use conditional probability, including the use of tree diagrams, Venn diagrams, two-way tables. Understand and use the conditional probability formula P(A|B)=P(A∩B)/P(B)".

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

- Probability Video A reminder of how to work out basic probability leading to simple combined events and expected values.
- Probability Basic probability questions in an online exercise.
- Venn Diagram Place each of the numbers 1 to 16 on the correct regions on the Venn diagram.
- Venn Totals Practise reading and creating Venn diagrams containing two and three sets and the number of elements in those sets.
- Set Notation Matching Match the set notation statements with the equivalent symbol. A drag and drop self-marking exercise.
- Venn Paint Video Here is a demonstration of how to illustrate union, intersection and complement of sets as they appear in Venn diagrams.
- 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.
- Venn Diagram Pairs The traditional pairs or pelmanism game adapted to test knowledge of Venn diagrams.
- Probability Formulae Show that you know which formula (as given in the IB Formula Booklet) to use for each probability question. A drag and drop challenge.

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 - "
*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 - "
*Twenty nine children went to a zoo to photograph some animals. The numbers of children who photographed Lions(L), Monkeys(M) and Zebras (Z) are given as follows:*" ... more - "
*Neal is attending a Scout jamboree in Japan. He has both boots and trainers to wear. He also has the choice of wearing a cap or not.*" ... more - "
*Let A and B be events such that \(P (A) = 0.45\) , \(P (B) = 0.35\) and \(P (A \cup B) = 0.5\).*" ... more - "
*Bag A contains 6 green tickets and 5 blue tickets.*" ... more - "
*The Venn diagram below shows the events \(A\) and \(B\), and the probabilities p, q and r.*" ... 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 - "
*Jane and David play two games of golf. The probability that Jane wins the first game is \(\frac56\). If Jane wins the first game, the probability that she wins the second game is \(\frac67\).*" ... 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 - "
*Two events A and B are such that \(P(A) = 0.57\) and \(P (A \cap B) = 0.21\).*" ... more

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**Best Dice**

Which of the unusual dice would you choose to give you the best chance of winning the prize? more**Other Child's Gender**

What is the probability that the other child is also a boy? more**Perennial Rivals**

Which football team will be first to win four games? more**Tri-Junction**

A real life situation that can be analysed with the use of a tree diagram. more**Unfinished Game**

Share the prize in a fair ratio according to the probability of each player willing. more

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

This Bicen Maths video clip shows everything you need to memorise on probability for A Level Statistics.

This video on Conditional Probability is from Revision Village and is aimed at students taking the IB Maths AA SL/HL level course.

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