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August 21, 2014

August 21, 2014

Posted by **bob** on Wednesday, February 1, 2012 at 7:07pm.

game, they have a net at a distance. The net is

made up of 1 mm thick wires. The wires run

vertically and horizontally to form a mesh that

has 5 mm square openings between them. A

bullet 2 mm in diameter must be shot in such a

way that it goes through the net without

touching the wires. Such a shot would result in

100 points. All other scenarios will result in 0

points. Bob is set to start the game. What is

the probability that Bob scores 100 points

from his first shot?

- math -
**Steve**, Thursday, February 2, 2012 at 9:39amarea of 5mm square: 25mm^2

cross-section of 2mm bullet = 3.14mm^2

portion of square occupied by bullet: 3.14/25 = 0.126

So, there's a 1-.126 = .874 chance the bullet will not hit the wires.

Actually, the dimensions need to be adjusted slightly to account for the space occupied by the wires, since he's firing at the mesh, not a single opening. I'm sure you can handle that.

- math -
**PrasadBabu**, Thursday, February 2, 2012 at 7:35pmAre you just posting the NSF POM's online for the answer? I am disappointed...

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