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Question

An integer is chosen at random from first 200 positive integers. The probability that the integer chosen is divisible by 6 or 8 is

A
13
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B
14
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C
15
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D
None of these
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Solution

The correct option is B 14
One integer can be chosen out of 200 integer in 200C1 ways.
Let A be event than an integer selected is divisible by 6 and B that it is divisible by 8.
Then, P(A)=33200,P(B)=25200 and P(AB)=8192
Required probability =P(AB)
=P(A)+P(B)P(AB)=33200+252008192=14

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