Questions and Answers
What is an experiment in probability?
An operation, process, or activity in which outcomes can be used to estimate probability.
What is a trial in probability?
A single repetition or observation of an experiment.
What is an outcome?
A possible result of a probability experiment.
What is a sample space?
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What is an event in probability?
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What is probability?
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What is experimental probability?
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What are equally likely outcomes?
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What is theoretical probability?
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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 are compound events?
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What is a combination?
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What is a permutation?
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What is the fundamental counting principle?
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What is factorial?
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What are favorable outcomes?
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What is geometric probability?
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What is conditional probability?
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What is a simple event?
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What is a compound event?
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What are mutually exclusive events?
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What are inclusive events?
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Study Notes
Key Concepts in Probability
- Experiment: An operation or activity designed to find outcomes to estimate probability.
- Trial: A single observation or repetition of an experiment, essential for probability analysis.
- Outcome: Any possible result derived from a probability experiment.
- Sample Space: The complete set of all potential outcomes from an experiment.
- Event: A specific outcome or a group of outcomes from a probability experiment.
Understanding Probability
- Probability: A measure ranging from 0 to 1, indicating the likelihood of an event happening.
- Experimental Probability: Calculated as the ratio of the number of times an event occurs to the total number of trials.
- Theoretical Probability: Determined by the ratio of favorable outcomes to the total possible outcomes, assuming all outcomes are equally likely.
Event Relationships
- Complement of an Event: Includes all outcomes in the sample space not covered by event E.
- Independent Events: Events where the occurrence of one does not influence the probability of the other.
- Dependent Events: Events where the occurrence of one event impacts the likelihood of another.
Types of Events and Combinations
- Compound Events: Formed from two or more individual events.
- Favorable Outcomes: The specific outcomes that fulfill the criteria of the event being analyzed.
- Mutually Exclusive Events: Events that cannot co-occur; the probability of either happening is the sum of their individual probabilities.
- Inclusive Events: Events that share one or more common outcomes.
Combinatorial Concepts
- Combination: Selecting a group of objects without regard to the order.
- Permutation: Selecting objects where the order of selection matters.
- Fundamental Counting Principle: Determines the total number of ways to choose n items based on multiple choices.
Advanced Probability Concepts
- Geometric Probability: A probability related to geometric measurements like length or area.
- Conditional Probability: Represents the probability of event B occurring given that event A has already occurred.
- Simple Event: An event consisting of a single, distinct outcome.
Special Mathematical Constructs
- Factorial: The product of all natural numbers up to a given number, with 0! defined as 1.
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Test your knowledge of key concepts in probability with these flashcards designed for Algebra 2 students. Each card presents a term with its definition, helping you to better understand the fundamentals of probability. Perfect for review or study sessions.