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Extending the Addition Rule Extend the formal addition

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola ISBN: 9780321836960 18

Solution for problem 42BB Chapter 4.3

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

Elementary Statistics | 12th Edition

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Problem 42BB

Problem 42BB

 

Extending the Addition Rule Extend the formal addition rule to develop an expression for P(A or B or C ). (Hint: Draw a Venn diagram.)

Step-by-Step Solution:
Step 1 of 3

Solution  42BB

P (A or B or C)

=P(A or B) or C)

=P(A or B) + P (C) - P (A or B) and C)                                               (from additional rule)

=P (A) + P (B) - P (A and B) + P ( C) - {P((A and C) or (B and C))}

=P(A) + P (B) + P (C ) - P (A and B) - { P(A and C) + P (B and C)- P (A and B and C)

=P(A) + P (B) + P (C ) - P (A and B) - P (A and C) - P (B and C) + P (A and B and C)

Step 2 of 3

Chapter 4.3, Problem 42BB is Solved
Step 3 of 3

Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

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Extending the Addition Rule Extend the formal addition