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

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An integer is chosen at random from first 200 positive integers. Find the probability that the integer is divisible by 6 or 8. A. 1/3 B. 1/4 C. 1/5 D. none of these Select the correct answer from above options

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Correct Answer - B One integer can be chosen out of 200 integers in .200C1 ways. Let A be the event that an integer selected is divisible by 6 and B that it is divisible by 8. Then, P(A)= 33 200 ,P(B)= 25 200 and P(A∩B)= 8 192 ∴ Required probability =P(A∪B) =P(A)+P(B)-P(A∩B) = 33 200 + 25 200 - 8 192 = 1 4

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