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An integer from 300 through 780, inclusive is to be chosen at random, find the probability that the number is chosen will have 1 as at least one digit.​

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mhanifa

Answer:

  • 93/481

Step-by-step explanation:

Total number of integers from 300 through 780, inclusive:

  • 780 - 299 = 481

Number of integers with at least one of digit 1:

  • Hundreds - 0,
  • Tens - 5*10 = 50 (31th, 41th, 51th, 61th, 71th)
  • Units - 4*9 + 7 = 43 (300 till 699 and 700 till 780)
  • So in total 50 + 43 = 93

The probability is:

  • P = favorable outcomes/total outcomes = 93/481

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