Questions and Answers
What is the definition of probability?
What is the sample space?
the set of all possible outcomes
What is the theoretical probability of an event?
the ratio of the number of favorable outcomes to the total number of outcomes possible
What is the complement of an event?
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What are independent events?
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What are dependent events?
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What is conditional probability?
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What is the notation for conditional probability?
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How is P(B/A) read?
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What is the conditional probability formula?
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What is AND probability?
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What is OR probability?
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Study Notes
Probability Concepts
- Probability: Measures the likelihood of an event occurring.
- Sample Space: Represents the complete set of all possible outcomes for an experiment.
- Theoretical Probability: Calculated as the ratio of favorable outcomes to total outcomes.
Event Relationships
- Complement of an Event: Refers to the probability that the event does not occur.
- Independent Events: Outcomes of one event do not influence the outcomes of another.
- Dependent Events: The outcome of one event affects another. Probability is given by P(A and B) = P(A) x P(B after A).
Conditional Probability
- Conditional Probability: Probability of one event occurring given that another event has already occurred.
- Notation: Denoted as P(B/A), representing the probability of B given A.
- Reading Conditional Probability: Understand it as the probability of B occurring given the occurrence of A.
- Conditional Probability Formula: Expressed as P(B/A) = P(B and A)/P(A).
Probability Calculations
- AND Probability: For independent events, the joint probability is P(A and B) = P(A) x P(B).
- OR Probability: For calculating the probability of either event occurring, use P(A or B) = P(A) + P(B) - P(A and B).
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Description
Explore the fundamentals of probability, including sample space, independent and dependent events, and conditional probability. This quiz will test your understanding of key probability concepts and how they interrelate. Perfect for students looking to solidify their knowledge in this essential mathematical area.