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Probability
Probability concepts are introduced in this unit. Topics include experiments, outcomes, sample spaces, events, and conditional probability. You may use the free demo lessons below in accordance with our Terms and Conditions.
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Lesson Access Description
Introduction to Probability To define experiment, outcome, event, and probability.  To understand the formula for finding the probability of an event. To find the probabilities of simple events with equally likely and with  non-equally likely outcomes. The interactive spinners and die rolls are random.
Certain and Impossible Events To define certain and impossible events. To identify events as certain or impossible, and to compute the probabilities of these events.
Sample Spaces To define the sample space of an experiment.  To determine the sample space of an experiment by examining each possible outcome.
The Complement of an Event To define the complement of an event. To find the probability of the complement of an event.
Mutually Exclusive Events To understand the difference between mutually exclusive and non-mutually exclusive events. Venn diagrams are used to make this distinction clear. To classify an experiment as having mutually exclusive or non-mutually exclusive events.
Addition Rules for Probability To find the probability of mutually exclusive events by using the addition rule.
Independent Events To define and understand independent events. To use the multiplication rule to find the probability of independent events.
Dependent Events To define and understand dependent events. To use a modified version of the multiplication rule to find the probability of dependent events.
Conditional Probability To define conditional probability. To understand the formula for finding conditional probabilities. To compute the probabilities of conditional events.
Practice Exercises To complete 10 additional exercises as practice.  To assess  students' understanding of all concepts learned so far.
Challenge Exercises To solve 10 additional problems that challenge students' understanding of probability.  Problems are drawn from real-life situations.  To hone students' problem-solving skills.
Solutions To review complete solutions to all exercises presented in this unit. Includes the problem, step-by-step solutions, final answer and units for each exercise.

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16 Mar 2009
     
     
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