Students will then compare the theoretical and experimental probabilities of this simple compound event and explain why there might be differences. Students will determine theoretical probabilities, compare to experimental results, and explain why there might be differences.
Students understand and appropriately use statistics and probability.
Understand and apply basic concepts of probability. Also, prior exposure to simple compound experiments such as flipping several coins at once will provide a sufficient basis for scaffolding. Further, students should have previously learned the meanings of probability language such as sample space, outcomes, desired outcomes, randomness , and complementary and mutually exclusive events . Students should have had experience in generating various visual representations of data, such as circle diagrams, bar graphs, box plots, stem and leaf plots. Following this lesson, students can wrestle with the problem of deciding which games of chance are fair and which are not, wherein they will be conducting experiments and calculating the theoretical probability of other simple, compound events.