Dec 17 B4 BW:Understanding Prob:The Multiplication Rule & Beyond

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What is the Multiplication Rule in probability?

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The Multiplication Rule states that if two events A and B are independent, the probability of both events occurring is the product of their individual probabilities: P(A and B) = P(A) * P(B).

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Define independent events in probability.

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Independent events are those whose outcomes do not affect each other. The occurrence of one event does not change the probability of the other event.

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What is the probability of rolling a sum of 7 with two six-sided dice?

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What is the probability of rolling an even number on a six-sided die?

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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, denoted as P(A|B).

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What does it mean when two events are dependent?

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Dependent events are those where the outcome of one event affects the outcome of another event.

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How do you calculate the probability of at least one event occurring?

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To find the probability of at least one of two independent events A or B occurring, use the formula: P(A or B) = P(A) + P(B) - P(A and B).

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What is the sample space in probability?

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