Lorez and Felipe each fire one shot at a target. Lorez has probability 0.5 of hitting the

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Lorez and Felipe each fire one shot at a target. Lorez has probability 0.5 of hitting the target, and Felipe has probability 0.3 . The shots are independent.

a. Find the probability that the target is hit.

b. Find the probability that the target is hit by exactly one shot.

c. Given that the target was hit by exactly one shot, find the probability that Lorez hit the target.

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