find the following probability
A train of n wagons transports hazardous materials. Each wagon, and independently
from the others, has a probability p to be defective. Prior to the trainís departure all
wagons are examined by two inspectors who do not exchange their inspectionís results during the control. We assume that each inspector will detect a default on a given wagon (if any) with probability r. One default is enough to delay the trainís departure(for repair). Compute the following probabilities.
that the trainís departure will be delayed?
do I use the conditional prob formula here, P(A|B) where B is the prob that the inspector will find a default, and A is the train will be delayed?
but how do I find the prob of A and B?