Experiments, Outcomes, and Sample Spaces
- p. 129
- define, and use in context, the following key terms: experiment, outcome, sample space, and simple event & compound event
- identify all possible outcomes of an experiment using a tree diagram, a Venn diagram or a cross-classification table.
- Experiment, outcome, and sample space
Determining Probabilities - 3 Conceptual Approaches
- p. 133
- define, and use in context, the following key terms: probability; first and second properties of probability; classical probability, relative frequency probability and subjective probability
- 2 Properties of probability
- compute probabilities using the classical probability rule.
- 3 Conceptual approaches to probability
- Classical probability
- relative frequency concept of probability
- Law of large numbers
- subjective probability
- approximate probabilities using the concept of relative frequency.
Marginal and Conditional Probabilities
- p. 140
- define, and use in context, the following key terms: marginal probability and conditional probability; mutually exclusive events; independent events and dependent events; complementary events
- Marginal and conditional probabilities
- Conditional probability
- Mutually exclusive events
- Independent versus dependent events
- compute marginal and conditional probabilities.
- use a mathematical test to determine whether 2 events are independent or dependent.
- calculate probabilities for complementary events.
- Added - Tree Diagrams and Marginal and Conditional Probabilities
Intersection of Events and the Multiplication Rule
- p. 150
- define, and use in context, the following key terms: intersection of events; joint probabilities
- use the multiplication rule to compute joint probabilities for any 2 types of events.
- Multiplication rule for independent events
- Multiplication rule for dependent events
- Multiplication rule to find joint probability of 2 dependent events
- Multiplication rule to calculate the probability of independent events
- use the multiplication rule to compute conditional probabilities for any 2 types of events.
- Calculating conditional probability
- use the multiplication rule to compute joint probabilities for independent events.
- Joint probability of mutually exclusive events
- Added - Tree diagrams and joint probabilities
- 2-5 Union of Events and the Addition Rule, p. 156
- define, and use in context, the key term "union of events."
- use the addition rule to compute probabilities for the union of any types of events.
- Addition rule for mutually nonexclusive events
- use the addition rule to compute probabilities for the union of mutually exclusive events.
- Addition rule for mutually exclusive events
- 2-6 Counting Rules, Factorials, and Combinations, p. 162
- define, and use in context, the following key terms: counting rule, factorial, combination
- To find total outcomes
- Factorials
- Combinations
- Combinations notation
- number of combinations
- compute the number of combinations using the combinations formula.
- Counting rule
Permutations