Probability

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Combination

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Conditional Probability / Compound Event

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Occurs when two or more simple events are performed together so that one event happens and so does another.

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Dependent Events

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The outcome of one event affects the outcome of the second. Example: drawing colored balls from a bag, when you do NOT put them back after each draw P(A and B) = P(A) × P(B|A).

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Experimental Probability / Empirical Probability

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Geometric Probability

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Interpreting one part of an area as a “successful” or “favorable” outcome, compared with the entire area.

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Independent Events

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Two or more events that have no influence on each other. Example: drawing colored balls from a bag, when you put them back after each draw P(A and B) = P(A) × P(B).

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Permutation

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Probability

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The likelihood of an event occurring. Compares the successful outcomes to the total outcomes.

Probability = number of successful outcomes possible / total number of outcomes possible.

The probability of rolling a 4 is 1/6.

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Probability Model

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A mathematical representation of a random phenomenon.

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Probability of 0

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An impossible outcome. Example: P(7) = 0 because it is impossible to roll a 7 on a single standard six-sided die.