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Transcript
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.