Two engines (one old and one new) fail independently of one another. The probability that both engines fail is .01. The probability that ONLY the new engine fails is .03. Using the Venn diagram equations, please find the probability that... a) the new engine fails b) both engines work (do not fail)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.1: Rectangular Coordinate Systems
Problem 16E
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Two engines (one old and one new) fail independently of one another. The probability that both engines fail is .01. The probability that ONLY the new engine fails is .03. Using the Venn diagram equations, please find the probability that...

a) the new engine fails

b) both engines work (do not fail)

AOB
AUB
B.
B.
AnB'
A'OB
AUB'
B.
B.
A'UB
AUB' = (AnB)'
A'OB' = (AUB)'
B.
Transcribed Image Text:AOB AUB B. B. AnB' A'OB AUB' B. B. A'UB AUB' = (AnB)' A'OB' = (AUB)' B.
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