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conditional probability

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Explanation of "Conditional Probability"

Definition: Conditional probability is a way to measure how likely one event is to happen, given that another event has already happened.

Example

Imagine you have a bag of 10 balls: 7 red and 3 blue. If you randomly pick a ball and it turns out to be red, what is the conditional probability that the next ball you pick will also be red?

Advanced Usage

In statistics and data science, conditional probability is often used in Bayesian statistics, where it helps in updating the probability for a hypothesis as more evidence or information becomes available.

Word Variants
  • Conditional (adjective): Related to or depending on a condition.
  • Probability (noun): The measure of how likely an event is to occur.
Different Meanings

While "conditional probability" has a specific meaning in mathematics and statistics, the term "conditional" on its own can refer to anything that depends on certain conditions being met.

Synonyms
  • Dependent probability
  • Probabilistic condition (less common)
Idioms and Phrasal Verbs

There aren't specific idioms or phrasal verbs directly related to "conditional probability," but you might encounter phrases like: - "If this, then that": A way to express the idea of conditionality in everyday language.

Summary

Conditional probability helps us understand how the occurrence of one event can change the likelihood of another event happening.

Noun
  1. the probability that an event will occur given that one or more other events have occurred

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