conditional probability

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Diagram showing conditional probability with playing cards: A card is drawn from a full deck, with a 50% chance of being red. If a second card is drawn without replacing the first, the probability of it being red depends on the first card's color-49% if the first was red, 51% if black. If the first card is returned, the probability for the next red card returns to 50%.

Bayes's theorem

conditional probability: Media

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Images

Diagram showing conditional probability with playing cards: A card is drawn from a full deck, with a 50% chance of being red. If a second card is drawn without replacing the first, the probability of it being red depends on the first card's color-49% if the first was red, 51% if black. If the first card is returned, the probability for the next red card returns to 50%.

Conditional probability

Example of conditional probability using a deck of cards.

Encyclopædia Britannica, Inc./Steven N. Kapusta

Bayes's theorem

Bayes's theorem

Illustration of Bayes's theorem. Suppose there are 10,000 people. The probability...

Encyclopædia Britannica, Inc.