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Date: Section 4.3 Elementary Statistics Digital Notes Addition Rule Definition - P(A or B) is Example – What is the probability of either rolling an even number OR rolling at least a 4? Definition – A Venn Diagram is Example - Addition Rule Formula: P(A or B) = P(A) + P(B) – P(A and B) Using slightly more mathematical symbols: P A∪ B= P A P B− P A∩ B Example – 20. Use the polygraph test data given in Table 4-1. If one of the subjects is randomly selected, find the probability that the subject had a negative test result or lied. Definition – Two events are mutually exclusive if Example – The events of rolling an even number or rolling at least a 4 are NOT mutually exclusive. Example – The events of rolling an even number or rolling an odd number ARE mutually exclusive. Venn Diagram of Two Mutually Exclusive Events Rule – If A and B are mutually exclusive, then P(A or B) = P(A) + P(B). Example – What is the probability of getting a hearts or diamonds if you are randomly dealt one card from a standard 52-card deck? Complementary Events Formula: P A=1− P A Example Let A = rolling less than a 5 Then A = P A=? Example – What is the probability of NOT getting a face card if you are randomly dealt one card from a standard 52-card deck? Homework → 4.3 – 5, 6, 8, 9, 12, 14, 15, 17, 19, 21, 24, 26, 27, 30, 33, 34, 35, 36, 37