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The numerical value representing the chance, likelihood, or possibility that a particular event will occur. |
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each individual or distinct outcome that may occur |
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When rolling a die how many possible elementary events are there? |
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Each possible type of occurrence representing a set or subset of elementary events |
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Based on relative frequencies obtained from experimental data, rather than on theoretical reasoning P(A) = XA / T still applies Does not assume all elementary events equally likely |
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An event defined by two or more characteristics o A car manufactured in the U.S. that needs repair o A car manufactured in the U.S. that doesn’t need repair |
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Used when either the number of elementary events is unknown or experimental data is unavailable to calculate relative frequencies |
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If two events, A and B, are mutually exclusive, then the probability that either event will occur is the sum of their individual probabilities. |
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If events A and B are not mutually exclusive then |
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P(A or B) = P(A) + P(B) – P(A and B) |
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The conditional probability of B occurring given that A has already occurred is equal to the joint probability that both A and B will occur divided by the probability of A occurring |
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P(B׀A) = P(A and B) / P(A |
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- means the occurrence of one event in no way affects the 2 nd event. |
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A complete set of all possible distinct outcomes and their probabilities of occurring |
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