Conditional Probability: Venn, Tree Diagrams, Tables

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What is Conditional Probability?

Back

Conditional Probability is the probability of an event occurring given that another event has already occurred. It is denoted as P(A | B), which reads as 'the probability of A given B'.

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What is the formula for Conditional Probability?

Back

Front

What does P(A | B) represent?

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P(A | B) represents the probability of event A occurring given that event B has occurred.

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What does P(B | A) represent?

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P(B | A) represents the probability of event B occurring given that event A has occurred.

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What is the complement of an event?

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The complement of an event A, denoted as A', is the event that A does not occur.

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How do you calculate the probability of the complement of an event?

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The probability of the complement of an event A is calculated as P(A') = 1 - P(A).

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What is a Venn Diagram?

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A Venn Diagram is a visual representation of the relationships between different sets, often used to illustrate the concept of conditional probability.

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What is a Tree Diagram?

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A Tree Diagram is a graphical representation used to show all possible outcomes of a probability experiment, illustrating the paths of events.

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How do you use a Table to represent probabilities?

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A probability table organizes the probabilities of different events and their combinations, making it easier to calculate conditional probabilities.

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What is the probability that a student plays a sport given they do not play an instrument?

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The probability is 0.2222.