At an unknown railway station, a person arrived at a four-way intersection point. Now, he wants to find out the exit gate, but there is no proper signboard available in this station. Therefore, initially, he has to choose one of four directions. If he goes North, then he will find the exit gate after one minute of travelling. If he goes East, he will wander around the station for three minutes and will then return to his initial position. If he goes South, he will wander around the station for ten minutes and will then return to his initial position. If he goes West, then he will find the exit gate after five minutes of travelling. Assuming that the person is at all times equally likely to choose any of the four directions. Now, estimate the expected number of minutes that the person will be trapped in the station.
At an unknown railway station, a person arrived at a four-way intersection point. Now, he wants to find out the exit gate, but there is no proper signboard available in this station. Therefore, initially, he has to choose one of four directions. If he goes North, then he will find the exit gate after one minute of travelling. If he goes East, he will wander around the station for three minutes and will then return to his initial position. If he goes South, he will wander around the station for ten minutes and will then return to his initial position. If he goes West, then he will find the exit gate after five minutes of travelling. Assuming that the person is at all times equally likely to choose any of the four directions. Now, estimate the expected number of minutes that the person will be trapped in the station.
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