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White raven [17]

2 years ago

6

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.

1 answer:

exis [7]2 years ago

6 0

Answer:

93/481

Step-by-step explanation:

<u>Total number of integers from 300 through 780, inclusive:</u>

780 - 299 = 481

<u>Number of integers with at least one of digit 1:</u>

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

<u>The probability is:</u>

P = favorable outcomes/total outcomes = 93/481

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