A number is chosen at random from the set 1 , 2 , 3 , … , 2000 . Let p be the probability that the chosen number is a multiple of 3 or 7 . Then the value of 500 p is ____.

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A number is chosen at random from the set  1 , 2 , 3 , &#8230; , 2000 . Let  p  be the probability that the chosen number is a multiple of 3 or  7 . Then the value of  500 p  is ____.

Quantrex Academy · Accepted Answer

Correct answer: A. A

Multiple of 3 = 3 , 6 , 9 &#8230; . 1998  are  666 Multiple of 7 = 7 , 14 &#8230; . 1995  are  285 Multiple of 21 = 21 , 42 &#8230; 1995  are  95 p = 666 + 285 - 95 2000 = 856 2000 = 214 500 = p 500 p = 214

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