conditional probability
- Noun:
- The probability that an event will occur given that one or more other events have occurred: It is a measure of the likelihood of an outcome, calculated with the knowledge that another specific event has already happened.
- General Use: The term is used primarily in the fields of statistics, probability theory, data science, and mathematics to describe a dependent probability.
- Formula Context: It is often discussed in relation to its mathematical formula, P(A|B), read as "the probability of A given B."
- Noun:
- The conditional probability of rain, given that the sky is cloudy, is quite high.
- To solve the problem, you must first calculate the conditional probability of drawing a red card from a deck, given that the first card drawn was a heart.
- Bayes' theorem is a fundamental rule for manipulating conditional probabilities.
"Conditional probability distribution": A probability distribution for a sub-population, where one or more variables are fixed.
- The model requires understanding the conditional probability distribution of customer purchases given their age group.
"Law of total probability": A rule that expresses the total probability of an outcome as a weighted average of conditional probabilities.
- We used the law of total probability, which relies on conditional probabilities, to find the overall chance of system failure.
Conditional (adj): Subject to one or more conditions or requirements being met.
- The offer was conditional on passing a background check.
Probability (n): The measure of the likelihood that an event will occur.
- The probability of flipping a fair coin and getting heads is 0.5.
Joint Probability (n): The probability of two (or more) events occurring together.
- The joint probability of rolling two sixes on a pair of dice is 1/36.
Marginal Probability (n): The probability of an event occurring irrespective of the outcome of other variables.
- The marginal probability of owning a car was calculated from the survey data.
- Conditional chance: (Less formal) The likelihood of something happening under a specified condition.
- Dependent probability: Emphasizes that the probability is not independent of prior events.
Given that: A phrase used to introduce the condition in a statement about conditional probability.
- The probability of A, given that B is true, is written as P(A|B).
Bayesian probability: A perspective on probability that interprets it as a degree of belief, heavily utilizing conditional probability via Bayes' theorem.
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the probability that an event will occur given that one or more other events have occurred
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