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| Segment Section Settlement (Posted on 2014-08-28) |
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S is the set of points each of whose whose coordinates x, y and z is an integer that satisfy:
0 ≤ x ≤ 2, 0 ≤ y ≤ 3 and 0 ≤ z ≤ 4
Two distinct points are randomly chosen from S.
Determine the probability that the midpoint of the segment that they determine also belongs to S.
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Submitted by K Sengupta
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Rating: 5.0000 (1 votes)
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Solution:
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(Hide)
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The required probability is 23/177 = 0.12994.
For an explanation, refer to the solution submitted by Jer in this location.
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