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Exclusive Or The formal addition rule expressed the

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

Solution for problem 41BB 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 41BB

Exclusive Or The formal addition rule expressed the probability of A or B as follows: P ( A or B ) = P ( A ) + ( B ) − P ( A and B ) . The exclusive or means either one or the other events occurs, but not both. Rewrite the expression for P(A or B) assuming that the addition rule uses the exclusive or instead of the inclusive or. (Hint: Draw a Venn diagram.)

Step-by-Step Solution:
Step 1 of 3

Solution 41BB

Since exclusive or means either one or the other but not both, that means the two events A and B can’t occur at the same time in a single trail,  so P (A and B) = 0 

Step 2 of 3

Chapter 4.3, Problem 41BB is Solved
Step 3 of 3

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

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Exclusive Or The formal addition rule expressed the