Major Objectives of Chapter 9: Probability

o define and calculate the probability of both a simple and compound event;

o use the concepts of probability and odds to discuss chance in simple and conditional settings;

o distinguish between experimental and theoretical probability;

o determine the conditions under which two events are independent;

o apply the procedures of simulation to estimate the probability of more complex events;

o use expected value of an event to determine the “fairness” of games;

o apply the concepts of permutation and combination to count outcomes in arrangements (orderings) and groupings;

o illustrate and define sample space, event, probability, odds, experiment;

o create and carry out a probability experiment ;

o calculate probability of multi-stage experiments using area models, probability trees and other appropriate models;

o create and carry out an experiment using simulations;

o develop counting strategies such is n!, combinations and permutations; and

o count events using counting principles such as permutations and combinations.