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 Hexagonal Spider Web (Posted on 2019-09-12)
A spider has its web in the shape of a regular hexagon. A fly is stuck to the web at a vertex that is diametrically opposite from the vertex at which the spider is. The spider can walk freely along the edges of the hexagon. At each vertex, it randomly chooses between walking on one of the two adjacent edges or staying at the vertex, all three choices with equal probability. If the time it takes to travel an edge is 5 seconds, while the waiting time at a vertex is 2 seconds, find the expected time it will take the spider to get to the fly?

Note: At the end of a waiting period at a vertex, a new random decision to stay at the vertex, or move along one of the two edges is made, with equal probability for the three choices.

 No Solution Yet Submitted by Danish Ahmed Khan No Rating

 Subject Author Date re(2): my solution Larry 2019-09-13 07:00:10 re: my solution Charlie 2019-09-12 19:34:38 re: my solution Charlie 2019-09-12 19:03:28 my solution Charlie 2019-09-12 18:49:10 correction Steven Lord 2019-09-12 11:36:04 hmmmm Steven Lord 2019-09-12 10:46:56 Solution Larry 2019-09-12 10:19:23

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