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Problems ready for a simulation to be added




Cluster based on article Resource
ID
Title Brief description of content Target
Conditional
probability

9646
9525 The dog ate my homework Conditional probability - models testing for presence of disease or DNA matching 13-15, using tree diagrams and 2-way tables to record results and interpret them by considering expected results
        16+, introduction to Bayes Theorem
Tree diagrams - a complete set of mutually exclusive narratives
 
9546 Which team will win? Introduction to probability trees (complete set of mutually exclusive narratives) 11-13, introducing tree diagrams and 2-way tables, and using them to compare what happened experimentally with what we would expect to happen
        13-15, combining probabilities, introducing the multiplicaton rule
Developing a methodology for analysing problems - fractions and tree diagrams and introducing the multiplication rule
9648
9599 Luigi's Ice Cream Business Utility of money is non-linear, difference between one-off events and long-term performance, risk perceptions, rare events with potentially very high gains 14-16, expectation, moving to using fractions on tree diagrams
  9598 To insure or not to insure Do you look at the expected gain over time of buying/not buying insurance - or focus on the impact of a one-off event, which may not happen? 13-16, investigating a mathematical model of expectation
Micromorts/microlives 9611 Will you live to be 100? Micromort per event x exposure per year, accumulated over a life-time
Difference between accidental (additive) and lifestyle (multiplicative)
Game, aimed at 13-15 year-olds - play the game, then evaluate it.
Absolute and relative risks 9600 Numbers in the news Use health pack for this  
Coincidences   Collection of birthday problems Coincidences which are surprising to the subject, but are not surprising in the general population  
Making predictions   How good are the probabilities? Scoring predictions, weather forecasting, political forecasting Quiz - how confident are you that your answer is right?
Sampling
9649
9601 The Wisdom of the Crowds Estimating the number of sweets in a jar. 12-14, use of averages, building up a histogram
  9685 How Confident Are You? Wisdom of the Crowds revisited - using 90% probability estimates What does it mean to be 90% confident?
  9609 Capture and Recapture Estimating the number of badgers in a wood. 12-14, introduction to sampling techniques, proportional reasoning.
Thinking through a logical argument, enumerating outcomes     Monty hall and Monty Hall revisited