A military aircraft that carries n bombs shoots against a target until the target is destroyed or the aircraft runs out of bombs. The probability a bomb finds the target is p1, while the probability that a bomb destroys the target when it has already been hit by a bomb is p2. If successive bomb shots can be considered as independent

“experiments,” find the probability that

(i) the aircraft destroys its target without using all the bombs;

(ii) when the target is destroyed, there are two unused bombs;

(iii) For the destruction of the target, at most two bombs are needed.