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Suppose the events A, B, and C are mutually independent, and P(A) = 0.28, P(B) = 0.37, and P(C) = 0.22. Find the probability that none of the events occur.

Suppose the events A, B, and C are mutually independent, and P(A) = 0.28, P(B) = 0.37, and P(C) = 0.22. Find the probability that none of the events occur.

MATLAB: An Introduction with Applications
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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Suppose the events A, B, and C are mutually independent, and P(A) = 0.28, P(B) = 0.37, and P(C) = 0.22. Find the probability that none of the events occur.
Transcribed Image Text:Suppose the events A, B, and C are mutually independent, and P(A) = 0.28, P(B) = 0.37, and P(C) = 0.22. Find the probability that none of the events occur.
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Step 1: Formula :

When the events A, B and C are multually independent then the probability that none of the events occur would be 

                      space space space space space space space P left parenthesis N o n e space o f space e v e n t space o c c u r right parenthesis equals P left parenthesis A right parenthesis to the power of c P left parenthesis B right parenthesis to the power of c P left parenthesis C right parenthesis to the power of c space left square bracket S i n c e comma space t h e space e v e n t s space A comma B space a n d space C space a r e space m u t u a l l y space i n d e p e n d e n t right square bracket

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