An aircraft is targeted by two independently acting ground-to-air missiles. Each missile hits the aircraft with probability 0.6 if these missiles are not being destroyed before. The aircraft will crash with probability 1 if being hit by at least one missile. On the other hand, the aircraft defends itself by firing one air-to-air missile each at the approaching ground-to-air missiles. The air-to-air missiles destroy their respective targets with probablity 0.5 .

(1) What is the probability that \(p\) the aircraft will crash as a result of this attack?

(2) What is the probability that the aircraft will crash if two independent air-to-air missiles are fired at each of the approaching ground-to-air-missiles?