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 Throwing needles (Posted on 2005-01-19)
If I throw 1000 10-centimeter-long needles on to a tiled floor, where each tile is a 10 cm x 30 cm rectangle, approximately how many needles will end up lying across a crack?

You may assume that the widths of both the needles and the cracks are negligible.

 Submitted by Sam Rating: 3.6667 (3 votes) Solution: (Hide) You'd expect to find about 743 needles crossing the crack. For a full explanation of why, see Charlie's post here

 Subject Author Date Answer K Sengupta 2008-04-14 16:31:57 re(4): Simulation supports Charlie 2005-01-21 19:45:40 re(3): Simulation supports Hugo 2005-01-21 19:35:00 re(2): Simulation supports Charlie 2005-01-21 16:38:07 re: Simulation supports Hugo 2005-01-21 15:20:36 Simulation supports "second thoughts" Charlie 2005-01-21 14:57:14 re: solution -- second thoughts Charlie 2005-01-20 13:51:09 re: solution Steve Herman 2005-01-20 12:41:42 solution Charlie 2005-01-19 14:29:05

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