4.2 Addition Rules for Probability - navimath · 2013-01-26 · Probability and Counting Rules...
Transcript of 4.2 Addition Rules for Probability - navimath · 2013-01-26 · Probability and Counting Rules...
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Bluman, Chapter 4
4.2 Addition Rules for Probability Two events are mutually exclusive
events if they cannot occur at the same time (i.e., they have no outcomes in common)
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Bluman, Chapter 4
Chapter 4Probability and Counting Rules
Section 4-2Example 4-15Page #200
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Bluman, Chapter 4
Example 4-15: Rolling a Die
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Bluman, Chapter 4
Example 4-15: Rolling a DieDetermine which events are mutually exclusive and which are not, when a single die is rolled.
a. Getting an odd number and getting an even number
Getting an odd number: 1, 3, or 5Getting an even number: 2, 4, or 6
Mutually Exclusive
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Bluman, Chapter 4
Example 4-15: Rolling a Die
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Bluman, Chapter 4
Example 4-15: Rolling a DieDetermine which events are mutually exclusive and which are not, when a single die is rolled.
b. Getting a 3 and getting an odd number
Getting a 3: 3Getting an odd number: 1, 3, or 5
Not Mutually Exclusive
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Bluman, Chapter 4
Example 4-15: Rolling a Die
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Bluman, Chapter 4
Example 4-15: Rolling a DieDetermine which events are mutually exclusive and which are not, when a single die is rolled.
c. Getting an odd number and getting a number less than 4
Getting an odd number: 1, 3, or 5Getting a number less than 4: 1, 2, or 3
Not Mutually Exclusive
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Bluman, Chapter 4
Example 4-15: Rolling a Die
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Bluman, Chapter 4
Example 4-15: Rolling a DieDetermine which events are mutually exclusive and which are not, when a single die is rolled.
d. Getting a number greater than 4 and getting a number less than 4
Getting a number greater than 4: 5 or 6Getting a number less than 4: 1, 2, or 3
Mutually Exclusive
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Bluman, Chapter 4
Chapter 4Probability and Counting Rules
Section 4-2Example 4-18Page #201
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Bluman, Chapter 4
Example 4-18: Political Affiliation
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Bluman, Chapter 4
Example 4-18: Political AffiliationAt a political rally, there are 20 Republicans, 13 Democrats, and 6 Independents. If a person is selected at random, find the probability that he or she is either a Democrat or an Republican.
Mutually Exclusive Events
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Bluman, Chapter 4
Example 4-18: Political AffiliationAt a political rally, there are 20 Republicans, 13 Democrats, and 6 Independents. If a person is selected at random, find the probability that he or she is either a Democrat or an Republican.
Mutually Exclusive Events
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Bluman, Chapter 4
Example 4-18: Political AffiliationAt a political rally, there are 20 Republicans, 13 Democrats, and 6 Independents. If a person is selected at random, find the probability that he or she is either a Democrat or an Republican.
Mutually Exclusive Events
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Bluman, Chapter 4
Chapter 4Probability and Counting Rules
Section 4-2Example 4-21Page #202
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Bluman, Chapter 4
Example 4-21: Medical StaffIn a hospital unit there are 8 nurses and 5 physicians; 7 nurses and 3 physicians are females.If a staff person is selected, find the probability that the subject is a nurse or a male.
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Bluman, Chapter 4
Staff Females Males TotalNursesPhysicians
Example 4-21: Medical StaffIn a hospital unit there are 8 nurses and 5 physicians; 7 nurses and 3 physicians are females.If a staff person is selected, find the probability that the subject is a nurse or a male.
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Bluman, Chapter 4
Staff Females Males TotalNursesPhysicians
85
Example 4-21: Medical StaffIn a hospital unit there are 8 nurses and 5 physicians; 7 nurses and 3 physicians are females.If a staff person is selected, find the probability that the subject is a nurse or a male.
10
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Bluman, Chapter 4
Staff Females Males TotalNursesPhysicians
85
Example 4-21: Medical StaffIn a hospital unit there are 8 nurses and 5 physicians; 7 nurses and 3 physicians are females.If a staff person is selected, find the probability that the subject is a nurse or a male.
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73
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Bluman, Chapter 4
Staff Females Males TotalNursesPhysicians
85
Example 4-21: Medical StaffIn a hospital unit there are 8 nurses and 5 physicians; 7 nurses and 3 physicians are females.If a staff person is selected, find the probability that the subject is a nurse or a male.
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7 13 2
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Bluman, Chapter 4
Staff Females Males TotalNursesPhysicians
85
Example 4-21: Medical StaffIn a hospital unit there are 8 nurses and 5 physicians; 7 nurses and 3 physicians are females.If a staff person is selected, find the probability that the subject is a nurse or a male.
10
7 13 2
Total
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Bluman, Chapter 4
Staff Females Males TotalNursesPhysicians
85
Example 4-21: Medical StaffIn a hospital unit there are 8 nurses and 5 physicians; 7 nurses and 3 physicians are females.If a staff person is selected, find the probability that the subject is a nurse or a male.
10
7 13 2
Total 10 3 13
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Bluman, Chapter 4
Staff Females Males TotalNursesPhysicians
85
Example 4-21: Medical StaffIn a hospital unit there are 8 nurses and 5 physicians; 7 nurses and 3 physicians are females.If a staff person is selected, find the probability that the subject is a nurse or a male.
10
7 13 2
Total 10 3 13
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Bluman, Chapter 4
Staff Females Males TotalNursesPhysicians
85
Example 4-21: Medical StaffIn a hospital unit there are 8 nurses and 5 physicians; 7 nurses and 3 physicians are females.If a staff person is selected, find the probability that the subject is a nurse or a male.
10
7 13 2
Total 10 3 13
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Bluman, Chapter 4
Example 4-22
On New Year’s Eve, the probability of a person driving while intoxicated is 0.32, the probability of a person having a driving accident is 0.09, and the probability of a person having a driving accident while intoxicated is 0.06. What is the probability of a person driving while intoxicated or having a driving accident?
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Non mutually exclusive Venn diagram.
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Bluman, Chapter 4
Mutually Exclusive Diagram
A B
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Bluman, Chapter 4
Homework
Section 4.2 APPYLING CONCEPTS
PAGE 203 Page 204-206, #1-25 oddsDue Tuesday 16, 2012
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