Launching a surprise attack


The crew of the Starship Enterprise is considering launching a surprise attack against the Borg in a neutral quadrant. Possible interference by the Klingons, though, is causing Captain Picard and Data to reassess their strategy. According to Data's calculations, the probability of the Klingons joining forces with the Borg is 0.2384. Captain Picard feels that the probability of the attack being successful is 0.80 if the Enterprise can catch the Borg alone, but only 0.30 if they have to engage both adversaries. What is the probability of an attack being successful?

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Basic Statistics: Launching a surprise attack
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