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What is Conditional Probability?

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

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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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How do you calculate Conditional Probability?

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Conditional Probability is calculated using the formula: P(A|B) = P(A and B) / P(B), where P(A and B) is the probability of both events occurring.

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What is the Complement Rule in probability?

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The Complement Rule states that the probability of an event not occurring is equal to 1 minus the probability of the event occurring: P(A') = 1 - P(A).

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What is the difference between independent and dependent events?

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Independent events are those where the occurrence of one event does not affect the probability of the other. Dependent events are those where the occurrence of one event affects the probability of the other.

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What is the formula for the probability of two independent events A and B occurring?

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For independent events, the probability of both A and B occurring is: P(A and B) = P(A) * P(B).

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What is a sample space in probability?

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A sample space is the set of all possible outcomes of a probability experiment.

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What is an event in probability?

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An event is a specific outcome or a set of outcomes from a probability experiment.

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What does it mean for events to be mutually exclusive?

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Mutually exclusive events are events that cannot occur at the same time. If one event occurs, the other cannot.

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How do you find the probability of the union of two events A and B?

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The probability of the union of two events A and B is given by: P(A or B) = P(A) + P(B) - P(A and B).