An integer is chosen at random from the first 80,000 positive integers. What is the probability
that the integer chosen is divisible by atleast one of the numbers 2,4,6,7?
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The number of numbers which are divisible by 6 which are less than 200 is 33.
The number of numbers which are divisible by 8 which are less than 200 is 25.
The number of numbers which are divisible by both 6 and 8 which are less than 200 is 8.
Therefore the number of numbers which are divisible by 6 or 8 is 33+25−8=50.
The probability is 50/200 = 1/4.
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