Home > Probability
| Segment Section Settlement (Posted on 2014-08-28) |
 |
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.
|
|
Submitted by K Sengupta
|
|
Rating: 5.0000 (1 votes)
|
|
|
Solution:
|
(Hide)
|
The required probability is 23/177 = 0.12994.
For an explanation, refer to the solution submitted by Jer in this location.
|
Comments: (
You must be logged in to post comments.)
|
|
Please log in:
Forums (0)
Newest Problems
Random Problem
FAQ |
About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On
Chatterbox:
|
