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Statistics 3-3: The Addition Rule Objective 1: Mutually Exclusive Events Two events A and B are mutually exclusive if __________________________________________. Read Example 1, page 160. TIY1: Decide if the events are mutually exclusive. 1) Event A: Randomly select a jack from a standard deck of cards. Event B: Randomly select a face card from a standard deck of cards. 2) Event A: Randomly select a 20-year old student. Event B: Randomly select a student with blue eyes. 3) Event A: Randomly select a vehicle that is a Ford. Event B: Randomly select a vehicle that is a Toyota. Objective 2: The Addition Rule The probability that events A or B will occur, P(A or B) is given by If events A and B are mutually exclusive, then the rule can be simplified to *In other words, just ________ the probability of the events when using “or” and ____________ their overlap (where they both occur) This simplified rule can be extended to any number of mutually exclusive events. Read Example 2, page 161. TIY2: 1) A die is rolled. Find the probability of rolling a 6 or an odd number. 2) A card is selected from a standard deck. Find the probability that the card is a face card or a heart. Read Example 3, page 162. TIY 3:Use the table from example 3 to find the probability that the sales representative will sell between $0 and $49,999. Read Example 4, page 163. TIY 4: Use the table from example 4 to find the following probabilities. 1) The probability that the donor has type B or type AB blood. 2) The probability that the donor has type O blood or is Rh-positive. Objective 3: A Summary of Probability Read page 164 to see a summary of all the types of probability we have seen in chapter 3. This summary also contains some important formulas. Read Example 5, page 164. TIY5: Use the graph for example 5 to find the probability that the draft pick is not a linebacker or quarterback.