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General probability rules
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General probability rules

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  • 1. General Probability Rules
  • 2. Probability Models Vocabulary terms: Please review the definitions of these terms. They are a review of what you have learned in Algebra, Geometry and Algebra II/Trig: 1. Probability 2. Probability Model 3. Sample Space 4. Event 5. Subset 6. Empty Set 7. Independent Events 8. Disjoint Events 9. Dependent Events 10.Joint Events 11.Tree Diagram 12.With Replacement 13.Without Replacement 14.Complement of an Event 15.Conditional Probability
  • 3. 6 General Probability Rules 1.) 0≤P(A)≤1 The probability that an event will occur is between 0 and 1 inclusively 2.) P(S) = 1 The sum of the probabilities of all possible outcomes of an event is always 1 3.) P(A or B) = P(A) + P(B) - P(A∩B) The probability that event A or event B will happen is equal to the probability that event A happens, plus the probability the event B happens minus the probability of A and B happening simultaneously. 4.) P(AC) = 1-P(A) The probability of the complement of event A happening is equal to 1 minus the probability of A happening 5.) P(A and B) = P(A)*P(B) if A and B are independent The probability of event A and event B happening simultaneously is equal to the probability that event A happens multiplied by the probability that event B happens 6.) P(A or B or C) = P(A) + P(B) + P(C) if A,B,C are disjoint events The probability that even A, B or C occur is equal to the sum of their probabilities if the events are disjoint, if they are not disjoint, use rule #3