Frequency probability

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Frequency probability

Frequency probability (pronunciation: /ˈfriːkwənsi prɒbəˈbɪlɪti/), also known as empirical probability, is a concept in statistics and probability theory that refers to the ratio of the number of outcomes in which a specified event occurs to the total number of trials.

Etymology

The term "frequency" originates from the Latin word "frequentia", meaning "crowd" or "multitude". In the context of statistics, it refers to the number of times an event occurs. "Probability", on the other hand, comes from the Latin "probabilitas", which means "provable", and refers to the likelihood of an event happening.

Definition

In probability theory, frequency probability is defined as the limit of the relative frequency of an event's occurrence as the number of trials approaches infinity. It is calculated by dividing the number of successful outcomes by the total number of outcomes.

For example, if a coin is flipped 100 times and lands on heads 55 times, the frequency probability of the coin landing on heads is 55/100 = 0.55.

Related Terms

  • Relative frequency: This is a type of frequency that compares how often something happens with what could happen. It is calculated by dividing the number of times an event occurs by the total number of observations.
  • Probability distribution: This is a statistical function that describes all the possible values and likelihoods that a random variable can take within a given range.
  • Statistical significance: This is a measure that indicates the probability that a given result occurred by chance. If the probability is less than or equal to a predetermined significance level, the result is said to be statistically significant.
  • Sample space: This is the set of all possible outcomes of a statistical experiment.
  • Event (probability theory): In probability theory, an event is an outcome or defined collection of outcomes of a random experiment or process.

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