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EGR 252 - 2 1
Serial and Parallel Systems
• For increased safety and reliability, systems are often designed with redundancies. A typical system might look like the following:
0.95 0.9
0.88
0.85
0.97
A B
C
D
E
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EGR 252 - 2 2
Serial and Parallel Systems
• What is the probability that:– Segment 1 works?
– Segment 2 works?
– The entire system works?
0.95 0.9
0.88
0.85
0.97
A B
C
D
E
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EGR 252 - 2 3
Conditional Probability
• If segment 2 works, what is the probability that component C does not work?
P(B|A) = P(B ∩ A) / P(A)
1
2
0.95 0.9
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A B
C
D
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EGR 252 - 2 4
Conditional Probability
• If the system works, what is the probability that component D does not work?
0.95 0.9
0.88
0.85
0.97
A B
C
D
E
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EGR 252 - 2 5
Your turn …
• Problem 2.79, page 65