Laura and Philip each fire one shot at a target. Laura has probability 0.5 of hitting the target, and Philip 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 Laura hit the target.
Let L denote the event that Laura hits the target, and let Ph be the event that Philip hits the target. Then P(L) = 0.5 and P(Ph) = 0.3.
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