A number n is chosen at random from {1, 2,3, 4,.......,1000} The probability than n is a number that leaves reminder 1 when divided by 7 is

• 71/500
  numbers that leaves reminder 1 when divided by 7 are 8,15,22,....,995
  To find number of terms by A.P. formula, 995=8+(n-1)7 , n=142
  So probability=142/1000= 71/500
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