Probability Vocabulary Worksheet

A probability vocabulary worksheet is a handy tool for students who are learning about the principles and terminology of probability. These worksheets provide a structured way for students to practice and reinforce their understanding of concepts like chance, events, outcomes, and probability calculations. By engaging with these worksheets, students can strengthen their grasp of this essential mathematical subject.

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What is the definition of probability?

Probability is a mathematical concept that measures the likelihood of a specific event occurring. It is expressed as a number between 0 and 1, where 0 indicates impossibility and 1 indicates certainty. The higher the probability of an event, the more likely it is to occur. Probability is used extensively in various fields such as statistics, gambling, and sciences to make informed decisions and predictions based on past data and assumptions.

What is an event in probability?

In probability, an event is an outcome or a set of outcomes that can occur when an experiment is conducted. Events are the fundamental components used to analyze the likelihood of different outcomes in a given situation, where each event has a certain probability of occurring.

What is a sample space?

A sample space is the set of all possible outcomes of a random experiment or event. It includes every possible result that could occur when an experiment is conducted, and serves as the foundation for calculating probabilities and making predictions in probability theory and statistics.

What is an outcome in probability?

An outcome in probability refers to a possible result of an experiment or event. It is a specific element of the sample space, which is the set of all possible outcomes of a random experiment. In simpler terms, an outcome is a single event that can occur when a random experiment is conducted.

What is the difference between mutually exclusive and independent events?

Mutually exclusive events are events that cannot occur simultaneously, meaning the occurrence of one event prevents the occurrence of the other. On the other hand, independent events are events where the occurrence of one event does not affect the occurrence of the other. In other words, the outcome of one event has no impact on the outcome of the other event.

What is the definition of probability distribution?

A probability distribution is a mathematical function that describes the likelihood of different outcomes or events occurring in a given scenario. It assigns a probability to each possible outcome, which helps in understanding the relative likelihood of different outcomes and making predictions based on uncertainty.

What is meant by experimental probability?

Experimental probability is the likelihood of an event occurring based on the number of times the event actually occurs during an experiment or trial. It is calculated by conducting the experiment multiple times and comparing the outcomes to determine the probability of a specific event happening.

What is the difference between theoretical and empirical probability?

Theoretical probability is based on the mathematical likelihood of an event occurring, considering all possible outcomes in a known sample space, while empirical probability is calculated based on experimentation and actual data collected from observations or historical records. Theoretical probability is calculated using formulas and assumptions, while empirical probability is based on real-world data and observations.

What does it mean for an event to be equally likely?

An event is considered to be equally likely when all possible outcomes have the same probability of occurring. This means that each outcome has an equal chance of happening, with no one outcome being more likely than another. In other words, the likelihood of each outcome is the same, making them all equally probable.

What is the complement of an event in probability?

In probability theory, the complement of an event A is denoted as A' or A^c and refers to all the outcomes that are not in event A. Essentially, it represents the set of all possible outcomes that are not part of the original event A.