Find \( P(A \text{ or } B \text{ or } C) \) for the given probabilities.- \( P(A) = 0.36 \)- \( P(B) = 0.25 \)- \( P(C) = 0.16 \)- \( P(A \text{ and } B) = 0.12 \)- \( P(A \text{ and } C) = 0.03 \)- \( P(B \text{ and } C) = 0.05 \)- \( P(A \text{ and } B \text{ and } C) = 0.01 \)\[ P(A \text{ or } B \text{ or } C) = \] **Explanation:**To find \( P(A \text{ or } B \text{ or } C) \), you can use the principle of inclusion-exclusion:\[P(A \text{ or } B \text{ or } C) = P(A) + P(B) + P(C) - P(A \text{ and } B) - P(A \text{ and } C) - P(B \text{ and } C) + P(A \text{ and } B \text{ and } C)\]

Given,P(A)=0.36P(B)=0.25P(C)=0.16P(A∩B)=0.12P(A∩C)=0.03P(B∩C)=0.05P(A∩B∩C)=0.01P(A∪B∪C)=P(A)+P(B)+P(C)-P(A∩B)-P(A∩C)-P(B∩C)+P(A∩B∩C)P(A∪B∪C)=0.36+0.25+0.16-0.12-0.03-0.05+0.01P(A∪B∪C)=0.58P(A or B or C)=0.58

Answered: Find P(A or B or C) for the given…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Find P(A or B or C) for the given probabilities