Assume that the probability of an individual coalminer being killed in a mine accident during a year is 1/2400. calculate the probability that in a mine employing 200 miners there will be atleast one fatal accident in a year.
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The probability of at least one fatal accident in a year will be 0.083
It is given that the probability of an individual coalminer being killed in a mine accident during a year is 1/2400.
Therefore,
Let the event of a fatal accident be A.
P(A) = 0.000416
Now given that 200 miners are working in the mine.
Therefore the probability of someone getting killed will be
200xP(A) = 200 x 0.000416
= 0.08
Therefore the probability of at least one fatal accident in a year is 0.08
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