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An integer is chosen between 0 and 1000. What is the probability that it is (i) divisible by 7? (ii) not divisible by 7? Select the correct answer from above options

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The number of integers between 0 and 100 is n(S) = 99 (i) Let E1 = Event of choosing an integer which is divisible by 7 = Event of choosing and integer which is multiple of 7 = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98} ∴ n(E1) = 14 (ii) Let Event of choosing an integer which is not divisible by 7 ∴ n(E2) = n(S) - n(E1) = 99 - 14 = 85

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