SOLUTION: Two aero planes bomb a target in succession. The probability of each correctly scoring a hit is 0.3 and 0.2 respectively. The second will bomb only if the first misses the target.

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Question 896710: Two aero planes bomb a target in succession. The probability of each correctly scoring a hit is 0.3 and 0.2 respectively. The second will bomb only if the first misses the target. Find the probability that (i) target is hit (ii) both fails to score hits.
Answer by stanbon(75887) About Me  (Show Source):
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Two aero planes bomb a target in succession. The probability of each correctly scoring a hit is 0.3 and 0.2 respectively. The second will bomb only if the first misses the target.
Find the probability that
(i) target is hit
Success:: 1st hits or 1st misses and 2nd hits
P(hit) = 0.3 + 0.7*0.2 = 0.3 + 0.14 = 0.44
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(ii) both fails to score hits.
Success:: both miss
P(both miss) = 0.7*0.8 = 0.56
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Cheers,
Stan H.
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