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Suppose an integer from 1 through 1000 is chosen at random, find the probability that the integer is a multiple of 2 or a multiple of 9.

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Suppose an integer from 1 through 1000 is chosen at random, find the probability that the integer is a multiple of 2 or a multiple of 9. Select the correct answer from above options

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n ( S ) = 1000 n P ( A ∪ B ) = P ( A ) + P ( B ) − P ( A ∩ B ) P A: integer which is multiple of 2 B: integer which is multiple of 9 P ( A ) = 500 1000 P P ( B ) = 111 1000 P P ( A ∩ B ) = 55 1000 P P ( A ∪ B ) = P ( A ) + P ( B ) − P ( A ∩ B ) P = 500 1000 + 111 1000 − 55 1000 = = 556 1000 = .

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