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18 Nov 2006, 19:11
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N
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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
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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18 Nov 2006, 20:00
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Is it 1 : 2
Explanation
Total smaller cubes = 10^3
Number of inner cubes, which are not painted = (10 – 2)^3
So probability 10^3 – 8^3 : 10^3 => 488 : 1000 = 1 : 2 (approx)
Explanation
Total smaller cubes = 10^3
Number of inner cubes, which are not painted = (10 – 2)^3
So probability 10^3 – 8^3 : 10^3 => 488 : 1000 = 1 : 2 (approx)
19 Nov 2006, 00:16
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agree with E.
the painted are 488 out of total 1000.
the painted are 488 out of total 1000.
