If M is chosen at random on segment AF. Find the probability that M is on segment BC.

Answer 1/4
1/6
2/3
4/9

Question

If M is chosen at random on segment AF. Find the probability that M is on segment BC.

Answer    1/4 
   1/6 
   2/3 
   4/9

anonymous · Answer

attachment

phi · Answer

Does this help?  Pretend there is a fly that starts at tA and walks to F, then flies back to A and starts walking again.  Now wait some time, yell "check!" and see where the fly is (if it's flying we ignore it).  What's the chances it is between B and C?
Well if B to C covers most of the distance between A to F, it will be big. if B to C is small, the chance will be small.  So use the ratio of the distance B to C compared to the distance between A to F.