A miner is trapped in a mine containing 3 doors The first door leads to a tunnel that will take him to safety after 4 hours of

Question

A miner is trapped in a mine containing 3 doors The first door leads to a tunnel that will take him to safety after 4 hours of travel The second door leads to a tunnel that will return him to the mine after 6 hours of travel The third door leads to a tunnel that will return him to the mine after 5 hours If it is assumed that the miner is at all times equally likely to choose any one of the doors what is the variance of the length of time until the miner reaches safety The variance of the length of time until the miner reaches safety is Type an integer or a simplified fraction

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