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[DOC File]Section 1
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Define independent events in terms of a conditional probability. Vocabulary: Personal Probabilities – reflect someone’s assessment (guess) of chance. Joint Event – simultaneous occurrence of two events. Joint Probability – probability of a joint event. Conditional Probabilities – probability of an event given that another event has ...
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[DOCX File]Math 2 Unit 6: Probability
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The probability of two events occurring together is the product of their probabilities, if and only if then the events are independent. The probability of two events can be conditional on each other and the interpretation of that probability.
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[DOC File]Conditional Probability and Independence
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Independent events: (1) Events A and B are independent events if the occurrence of either one event is not affected by the occurrence of the other event. That is, In this case, (2) For k independent events , Ex. A system consists of 3 components, as shown in the picture.
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[DOC File]TRINITY AREA SCHOOL DISTRICT
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Problem: The multiplication rule only works for independent events. We need a more general multiplication rule that works for all situations, despite whether or not the events are independent. General Multiplication Rule: The joint probability that both of two events A and B happen together can be found by the following rule:
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[DOC File]Chapter Four - Miami Dade College
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4.67 The joint probability of two or more events is the probability that all those events occur simultaneously. For example, suppose a die is rolled once. Let: A = an even number occurs = {2, 4, 6} B = a number less than 3 occurs = {1, 2} Then the probability P(A and B) = P(2) is the joint probability of A and B.
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[DOC File]The Practice of Statistics
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joint event. joint probability. conditional probability Calculator Skills: randInt( SortA. Sum. 1-Var Sats ... What is the multiplication rule for independent events? How is the general multiplication rule different than the multiplication rule for independent events? Can mutually exclusive events be independent?
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[DOC File]Basics of Probability
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Conditional probability for any 2 events (sucession P(E1/E2) is the probability that event E1 will occur given that some other event has already happened. P(E1/E2) = P (E1 and E2) ( joint probab. P (E2) marginal prob. P (E2) > 0. Rule 7. Conditional probability for independent events P (E1/E2) = P(E1) ; P (E2) > 0
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Joint probability of independent events