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Questions to be sure to include

  • One question which asks students to set up a simulation (they don’t need to actually do the simulation…this can be a nightmare to grade).
  • A large two-way table (more than 2 rows and 2 columns) can be a great context to ask a variety of questions: probability, joint probability, conditional probability, complement events, independence of two events, mutually exclusive.
  • A problem where some information is given in words and students can choose whether to use a Venn Diagram, a two-way table, or a formula to answer the question.
  • One question in which students can use a tree diagram. This question should have two parts: one that requires students to add two or more probabilities and one that asks students to find a conditional probability.
  • At least one old AP question.  There are many to choose from and they are very accessible for students after completing this chapter.

Here are some tips to give your students

  • Close reading and careful writing are critical to your success this year.
  • Be sure to answer all parts of each question.
  • Use your list of strategies first. Rely on formulas last.
  • Show your work. For probability questions, this does not mean showing a formula–you need only show numbers. Most of the time a fraction and then the decimal equivalent is sufficient (i.e. 15/32 = 0.47). If this student only wrote 0.47 they would not get full credit on the AP Exam (naked answer).
  • If you are struggling to remember a concept, always go back to the context of the Activity where you learned the idea. Mutually exclusive events –> Brown Eyed Female. Independent events –> English or Math. Tree Diagrams –> Pair of Aces.
  • The best way to get better at probability questions is to do more probability questions.

On to Chapter 6!