Two objects are placed on opposite corners of a cube. The objects are designed only to move along the edges of the cube and are equipped with a power device which allows them to do so at the same constant speed of S inches per minute. If both objects begin moving at the same time, each taking one of the shortest paths towards the initial position of the other, what is the probability that the two objects will collide?
Tell me if this is the right method too. This method that I took seemed simpler when compared.
There are 6 shortest ways to travel to the opposite corner of the cube.
First object can take route in 6/6 ways.
If the second object has to collide into this, it has to choose the one route that the first object has chosen. So in 1/6 ways.
Therefore total probability = (6/6)*(1/6) = 1/6
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