Question

There is a sugar cube and two different Ants; one on one corner of the cube and the other on the diagonal
ly opposite corner. If the two ants start walking towards each other along the edges of the cube & never g
o backwards what is the probability that their paths will cross?​

Answer 1

Given : There is a sugar cube and two different Ants; one on one corner of the cube and the other on the diagonal ly opposite corner .

The two ants start walking towards each other along the edges of the cube & never g o backwards

To Find : what is the probability that their paths will cross?​

Solution:

We are assuming here that Ant will use the shortest possible path Available

Each Ant can go in 6 Ways

( As start point there are 3 possible ways to go and at next each point 2 Path Available and at further next point only one path  is available as shortest )

3 x 2 x 1 = 6  Ways

Hence Total Possible ways for both ants = 6 x 6 = 36

There were 6 Ways When Both cross Each other

Hence Probability = 6/36

= 1/6

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