# Missile target practice problem (discussed in class but restated here with modified numbers): Suppose that independent...

###### Question:

Missile target practice problem (discussed in class but restated here with modified numbers): Suppose that independent missiles A, B and C have probabilities 0.52, 0.48 and 0.375 of hitting a practice target, respectively. Assume that the target will be destroyed with probability 0.25 if hit by a single missile, 0.49 if hit with two missiles and 0.88 if hit by all three missiles. Find:

a. The probability that the target is destroyed.

b. The probability that the target is destroyed by a single missile knowing that it is destroyed.

c. The probability that the target is destroyed by missile B knowing that it is destroyed.

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