Question

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.​

Answer 1

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