Conditional probability
This resource list covers calculating the probability of independent and dependent combined events. This includes the requirement of students to use tree diagrams, other representations and to state the underlying assumptions made. Students also are required to calculate and interpret conditional probabilities through representation using expected frequencies in two-way tables, tree diagrams and Venn diagrams.
Visit the secondary mathematics webpage to access all lists.
Statistics in Your World - Level 4
This resource presents real life examples of the use of statistics and probability. For each unit there are comprehensive teacher's notes giving an overview of the unit, the aims and objectives for that unit, and prior learning or prerequisites, the equipment required and answers.
The unit entitles ‘Testing’ discusses the use of the breathalyser and mass radiography with the use of tree diagrams, ideas of conditional probability and the occurrence of errors. On completion of this unit students should have some appreciation of random selection, Type I and Type II errors, conditional probability, and have been introduced to the relationship: P(A|B) x P(B) = P(A n B).
Tree Diagrams
The first two interactive sheets deal with selecting objects from two bags. The outcomes are shown on tree diagrams and the probabilities can be revealed.
The next interactive sheet deals with the problem of passing through two sets of traffic lights with sets of questions beside the tree diagram.
The last interactive sheet is about the problem of sitting the driving test, and having up to three attempts where the probability of passing decreases after each attempt.
There are also eight sheets of questions which may be suitable for use in the classroom.
