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A large cube 10cm on a side is composed of smaller cubes 1

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Manager
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Joined: 27 Jul 2003
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Location: Singapore
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A large cube 10cm on a side is composed of smaller cubes 1 [#permalink] New post 14 Oct 2003, 20:57
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A large cube 10cm on a side is composed of smaller cubes 1 cm on a side. The large cube is printed red on its outside surfaces and then all the cubes are mixed in a drum. If one cube is selected randomly, which of the following is the approximate probability that the cube will have at least one red face?

A) 1:6

B) 1:5

C) 1:4

D) 1:3

E) 1:2
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Re: PS: Cube and Drum [#permalink] New post 14 Oct 2003, 23:00
araspai wrote:
A large cube 10cm on a side is composed of smaller cubes 1 cm on a side. The large cube is printed red on its outside surfaces and then all the cubes are mixed in a drum. If one cube is selected randomly, which of the following is the approximate probability that the cube will have at least one red face?

A) 1:6

B) 1:5

C) 1:4

D) 1:3

E) 1:2


P(atleast one red face) = 1 - P(no red face)

The unpainted "area of the cube" is 8*8*8

the total area = 10* 10*10

P(No reds) = 512/1000

P(atleast one red face) = 488/1000

Approximately 1:2

thanks
praetorian
Re: PS: Cube and Drum   [#permalink] 14 Oct 2003, 23:00
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A large cube 10cm on a side is composed of smaller cubes 1

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