Probability 3

Three shots are fired independently at the target in succession.The probabilities that the target is hit in first shot is \(\frac{1}{2}\) ,in the second \(\frac{2}{3}\) and in third sht is \(\frac{3}{4}\) .In case of exactly one hit ,the probability of destroyiing the target is\(\frac{1}{3}\) and in case of exactly two hits,\(\frac{7}{11}\) and in the case of three hits is \(1.0\) .Find the probability of destroying in three shots.

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