SOLUTION: A point on FJ is chosen at random. What is the probability it is also on GI?

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Question 1180517: A point on FJ is chosen at random. What is the probability it is also on GI?

Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13196) About Me  (Show Source):
You can put this solution on YOUR website!


Meaningless without a diagram or at least a description of a diagram

Re-post, defining the whole problem.


Answer by ikleyn(52759) About Me  (Show Source):
You can put this solution on YOUR website!
.
A point on FJ is chosen at random. What is the probability it is also on GI?
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From the context, I can guess that FJ and GI are the segments on the number line.

but I can not guess how they are placed one relative to the other.



        The final answer depends on their locations.



        The final answer may be separated and expressed in 3 parts.



1)  If the segmenths are disgoint, then the probability is zero.



2)  If the segment GI lies entirely inside of FJ  (is the subset, or a part of FJ).
    then the probability is the ratio of the length of the smaller segment GI
    to the length of the longer segment FJ.



3)  If the segments FJ and GI have partial intersection (but GI is not a part of FJ).
    then the probability is the ratio of the length of the intersection part to the
    length of the segment FJ.


Solved, answered and carefully explained.