Question

Point A, B and C are unique points on a line segment. Pick the answer that is closest to the probability that A is between B and C.​

Answer 1

Given :  Point A, B and C are unique points on a line segment.  

To find : probability that A is between B and C

Solution:

on a line segment 3 points ABC  can be arranged  in  6 ways

A  B  C  

A  C  B

B   A  C

B    C   A

C    A   B

C   B   A  

A is between  B  &  C   in 2 ways

A  B  C     or    C  B  A

Probability  that A is between  B & C   =  2/6   = 1/3

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