A number is chosen at random from the set 1 , 2 , 3 , … , 2000 . Let p be the probability that the…

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 500p is ____.

Solution

Multiple of 3=3,6,9.1998 are 666

Multiple of 7=7,14.1995 are 285

Multiple of 21=21,421995 are 95

p=666+285-952000=8562000=214500=p

500p=214

Asked in: JEE Advanced 2021 (Paper 2)

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