Conditional Probability
Definition
Conditional probability is the likelihood of an event occurring given that another event has already occurred. It measures the probability of one event happening, taking into account the occurrence of a different event.
Analogy
Imagine you have two bags of marbles - one bag contains red marbles and blue marbles, while the other bag contains only blue marbles. The conditional probability would be the chance of picking a red marble from the first bag, knowing that you have already picked a blue marble from the second bag.
Related terms
Joint Probability: The probability of two events happening together.
Marginal Probability: The probability of a single event occurring without considering any other events.
Bayes' Theorem: A formula used to calculate conditional probabilities by incorporating prior knowledge or information.
"Conditional Probability" appears in:
Study guides (1)
Additional resources (2)
Practice Questions (4)
- How is conditional probability denoted mathematically?
- What is conditional probability?
- What is the formula for calculating conditional probability?
- What can the formula for calculating conditional probability, P(B | A) = P(A and B) / P(A), be rearranged to?
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