We have 3 pumps, 2 electric pumps and one turbin pump. What is the probability of at least 2 of these pumps failing at the same time?
$E_j = Electric\ pump\ j\ is\ faulty\ condition,\ j=1,2 $
$T = The\ Turbin\ pump\ is\ in\ faulty\ condition$
$P(T)=0.04$, T is independent of the electric pumps
The answer is 0.00172 according to the solution set given at the end of the task, but I can't seem to find the correct calculation to get the answer.