Recent models for the failure behaviour of systems involving redundanc
y and diversity have shown that common mode failures can be accounted
for in terms of the variability of the failure probability of componen
ts over operational environments. Whenever such variability is present
, we can expect that the overall system reliability will be less than
we could have expected if the components could have been assumed to fa
il independently. We generalise a model of hardware redundancy due to
Hughes, [Hughes, R. P., A new approach to common cause failure. Reliab
. Engng, 17 (1987) 211-236] and show that with forced diversity, this
unwelcome result no longer applies: in fact it becomes theoretically p
ossible to do better than would be the case under independence of fail
ures. An example shows how the new model can be used to estimate redun
dant system reliability from component data.