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An artillery targer may be either at poi...

An artillery targer may be either at point I with probability `8//9` or at point II with probability `1//9.` We have 55 shells, each of which can be fired either at point I or II. Each shell may hit the target, independent of the other shells, with probability `1//2.` Maximum number of shells must be fired at point I to have maximum probability is

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