A submarine attacks a warship with 8 torpedoes. The torpedoes hit the warship independently of each other

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A submarine attacks a warship with 8 torpedoes. The torpedoes hit the warship independently of each other with probability 0.8 . Any successful torpedo hits one of the 8 submerged chambers of the ship independently of other successful ones with probability \(1 / 8\). The chambers are isolated from each other. In case of one or more hits, a chamber fills up with water. The ship will sink if at least 3 chambers are hit by one or more torpedos. What is the probability that the attack sinks the warship?

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