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Hawkeye Foodlemyer is firing a rifle at a paper target 500m away. The target is 10cm square, and each bullet hole is circular, 1cm in diameter. The bullet holes are uniformly distributed in the target area, and none extend beyond the boundary.
(A) How many bullets must be fired before there is a 50% chance that 2 bullet holes overlap? (B) How many bullets must be fired before there is a 50% chance that the next bullet hole will overlap an existing hole?

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