Excerpt from  Introduction to Fault Tree Analysis for System Safety 
by Dr. John B. Peller (a lecture given at the University of Southern
California Aircraft Safety School, 1962)
"There exists a subtle, but important distinction between  system 
safety  and  reliability , and the reader is urged to
fully understand this distinction. Basically, the two disciplines
answer  two different questions  about  two different things. 
Reliability answers the question "how often does something fail?" whereas
system safety answers the question,  "what happens when something does 
fail?"  Reliability is usually more directly concerned with individual
parts, although it is obviously also concerned with the total system
failure rate.  System safety is directly concerned with the integrity
of the system as a whole.
The distinction of "how often" versus "what happens" is the reason for the
status of system safety as an independent discipline (i.e., independent
from system reliability).  It is well known that a reliable system is not
necessarily a safe system!" 
 Safety and Reliability Concepts in Aircraft Design  
by Robert E.  Follensbee (previously in the FAA Los Angeles Aircraft 
Certification Office).
  
 Safety is not reliability.   As applied to civil aircraft designed
to FAR 25 standards they are related but distinctly different
concepts with different objectives.  In the briefest sense: 
  
-   Reliability  is concerned with the frequency of failure;
-   Safety  is concerned with the impact of failure;
-  Both are concerned with the causes of failure but the solutions necessary
     to satisfy their respective concerns are different.
An aircraft design can be safe but unreliable; it can be reliable but unsafe;
and it can be safe and at the same time reliable.  Safety and reliability are
essentially related, independent design parameters that tend to complement or
oppose each other but one cannot be substituted for the other. 
The type certification process finds an aircraft design to be in compliance
only with safety standards; it does not and cannot establish the reliability
level of the design.  FAR 25 does not require a reliability finding.  FAR
25.1309 does not contain the word "reliability." 
[Note from Prof. Leveson: Look at the FAA standard for software development,
DO-178B.  Would you call this a safety standard or a reliability standard?
To me it appears to be a reliability standard.  Do you agree or disagree?] 
 Six Recent Accidents/Incidents where the Probability of Occurrence
Calculates to Less than 10^-9  
 
by Robert E. Follensbee, 1993.
Five recent large transport accidents and one near accident illustrate and
emphasize the total unsuitability of numerical probability analysis as a
viable transport design safety methodology.  In all cases, a probability of
failure was calculated to be 10^-9 or less using the accepted techniques
of the industry; moreover, these calculated probabilities are typical of 
those often accepted by FAA as evidence of a safe design.  In several cases,
the need for specific compliance to fail safe standards was judged not
necessary based upon these probability calculations.
The six severe failure cases are presented below with a brief explanation
of the failure and the consequences:
-   MD-11, AAL fuel dump incident of June 1992 where the failure of a
     No. 2 engine and its electrical bus-tie transfer relay disabled all
     remaining fuel tank automatic fuel dump float-operated shutoff
     switches.  Fuel dumping continued without shutoff past the low-level
     shutoff quantity and nearly depleted the two remaining engine's main
     tanks of fuel.  The calculated probability of this occurring using
     conventional numerical probabability methodology is less than 10^-9. 
 
 
-  MD-80, SAS accident from ice ingestion in both engines during takeoff,
     December 1991.  The ground crew failed to detect upper wing ice after
     inspecting the aircraft for ice; also, a de-icing procedure failed to
     eliminate ice on the upper wing.  During takeoff, ice dislodged and
     caused surge in both engines.  In response to an engine thrust reduction,
     the autothrottle system unclamped and advanced the throttles in both
     engines causing a steady state surge condition that mechanically failed
     both engine compressors.  The pilot did not disconnect the autothrottles
     after engine surge as required by the SAS flight crew procedures.  The
     calculated probability of these events occurring in this sequence is 
     less than 10^-9. 
 
 
-  767, Lauda accident, June 1991, following uncommanded in-flight reversal
     of the No. 1 engine reverser.  While climbing through 25,000 ft., a
     reverser malfunction warning light illuminated indicating an open
     isolation valve in the No.1 engine reverser hydraulic system.  AFM
     flight crew procedures advised the crew to continue the flight and do
     maintenance checks at the next flight stop.  The calculated probability
     of unwanted reversal from system failures as occurred in this accident
     had been determined to be less than 10^-12. 
 
 
-  DC-8 main gear wheel burst accident, Charter Airline, Jeddah Arabia, 
    July 1991, where the wing fuel tank was penetrated by gear wheel fragments
    during takeoff and uncontrollable in-flight fire resulted.  Prior to this
    accident, the manufacturer had submitted numerical probability
    calculations showing that the probability of catastrophic fuel-fed fires
    occurring in flight from main landing gear wheel or tire bursts was
    was 10^-9 or less. 
 
 
-  DC-10, UAL accident from total loss of hydraulic power, Sioux City,
    Iowa, August 1989.  A No. 2 engine fan disc fatigue failure during cruise
    at 37,000 ft. discharged high energy shrapnel over the horizontal tail
    surfaces and caused the severing of all three hydraulic system lines
    and the subsequent loss of fluid.  Flight controls were totally
    disabled and the aircraft made a crash landing using engine thrust as
    the sole means of control.  The manufacturer, during certification of
    the DC-10, submitted a numerical probability calculation showing the
    chances of total loss of hydraulic fuel from engine rotor burst was
    10^-9 or less. 
 
 
-  747, UAL accident from explosive decompression following failure of
    forward cargo door, February 1989.  During climb at 23,000 ft., the
    cargo door suddenly opened and resulted in explosive decompression and
    the loss of nine passengers.  Design deficiencies in the door locking
    system and the electrical actuation system were cited by NTSB as causes
    of the door failure.  Numerical probability calculations using accepted
    and conventional techniques show the probability of these failure causes
    to be less than 10^-9.