This page lists the Learning Objectives for each core lesson in Unit 6 of 13.
Introduction to Probability
The student will be able to:
- Define experiment, outcome, event, probability and equally likely.
- State the formula for finding the probability of an event.
- Evaluate outcomes and probabilities for several simple experiments.
- Evaluate interactive die rolls and spinners in relation to simple experiments.
- Recognize the difference between outcomes that are, and are not, equally likely to occur.
- Apply probability concepts to solve problems.
Certain and Impossible Events
The student will be able to:
- Define certain event, impossible event, and standard deck of 52 playing cards.
- Evaluate several experiments with certain outcomes.
- Evaluate several experiments with impossible outcomes.
- Evaluate interactive die rolls and spinners in relation to certain and impossible events.
- Recognize the difference between certain and impossible events.
- Compute the probability of an impossible event and of a certain event.
- Apply concepts of certain and impossible events to solve problems.
Sample Spaces
The student will be able to:
- Define sample space.
- Evaluate the sample space and probabilities for several experiments.
- Evaluate interactive die rolls and spinners in relation to sample spaces.
- List the sample space of an experiment.
- Apply sample space procedures to solve problems.
The Complement of an Event
The student will be able to:
- Define complement of an event.
- State the formula and procedure for finding the probability of the complement of an event.
- Evaluate several experiments in which the complement of an event is determined.
- Evaluate interactive die rolls and spinners in relation to the complement of an event.
- Compute the probability of the complement of an event.
- Apply the procedure for finding the complement of an event to solve problems.
Mutually Exclusive Events
The student will be able to:
- Define mutually exclusive events.
- Evaluate experiments in which the events are mutually exclusive.
- Evaluate experiments in which the events are not mutually exclusive.
- Recognize the difference between events that are, and are not, mutually exclusive.
- Apply mutually exclusive concepts to solve problems.
Addition Rules for Probability
The student will be able to:
- State the addition rules for probability.
- Identify which addition rule applies to mutually exclusive events.
- Identify which addition rule applies to non-mutually exclusive events.
- Evaluate experiments that apply addition rules in order to find probabilities.
- State the formula and procedure for finding the probability of mutually exclusive events.
- State the formula and procedure for finding the probability of events that are not mutually exclusive.
- Compute the probability of events that are, and are not, mutually exclusive.
- Apply addition rule procedures to solve problems.
Independent Events
The student will be able to:
- Define independent events, compound events, and replacement.
- State the multiplication rule for finding the probability of independent events.
- Evaluate experiments in which the probability of 2 independent events is computed.
- Evaluate experiments in which the probability of 3 independent events is computed.
- Compute the probability of independent events.
- Apply concepts of independent events to solve problems.
Dependent Events
The student will be able to:
- Define dependent events and conditional probability.
- State the multiplication rule for finding the probability of dependent events.
- Evaluate experiments in which the probability of 2 dependent events is computed.
- Evaluate experiments in which the probability of 3 or 4 dependent events is computed.
- Compute the probability of dependent events.
- Apply concepts of dependent event to solve problems.
Conditional Probability
The student will be able to:
- Analyze the method for deriving the conditional probability formula from the multiplication rule for dependent events.
- Evaluate experiments in which a conditional probability is computed.
- Compute conditional probabilities.
- State the procedure for finding a conditional probability.
- Apply conditional probability procedures to solve problems.
Practice Exercises
The student will be able to:
- Identify the concepts and procedures needed to solve each problem.
- Apply probability concepts to solve simple problems.
- Evaluate problems involving probability.
Challenge Exercises
The student will be able to:
- Analyze each problem to identify the given information.
- Identify the concepts and procedures needed to solve each problem.
- Apply probability concepts to solve complex problems.
- Identify connections between probability and the real world.
- Develop strong problem-solving skills.
Solutions
The student will be able to:
- Analyze the solution for each exercise presented in this unit.
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