SOLUTION: Michael is one of 13 contestants entered in two races to be run on a 13 lane track. If in each race the runners are assigned to the lanes at random, what is the probability that Mi

Algebra ->  Probability-and-statistics -> SOLUTION: Michael is one of 13 contestants entered in two races to be run on a 13 lane track. If in each race the runners are assigned to the lanes at random, what is the probability that Mi      Log On


   

Question 418407: Michael is one of 13 contestants entered in two races to be run on a 13 lane track. If in each race the runners are assigned to the lanes at random, what is the probability that Michael will be assigned the inside lane at least once?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Michael is one of 13 contestants entered in two races to be run on a 13 lane track. If in each race the runners are assigned to the lanes at random, what is the probability that Michael will be assigned the inside lane at least once?
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P(inside lane) = 1/13
P(other lane) = 12/13
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Binomial Problem with n = 2
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P(at least one inside lane) = 1 - P(none in 2 races)
= 1 - (12/13)^2 = 0.1479
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Cheers,
Stan H.
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