The Universe Speaks Math-11

Algebra Level pending

An integer from 100 through 999, inclusive, is chosen at random. What is the probability that the number chosen will have 0 for at least one digit?

19 900 \frac {19}{900} 90 900 \frac {90}{900} 171 900 \frac {171}{900} 271 1000 \frac {271}{1000} 81 900 \frac {81}{900}

Mohammad Farhat by Mohammad Farhat , 16, Singapore

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1 solution

X X
Nov 10, 2018

There are 900 numbers from 100 to 999.

The numbers that doesn't contain 0 is the ones that only contains 1,2,3...,9, so there are 9 × 9 × 9 = 729 9\times9\times9=729

900 − 729 = 171 900-729=171 , so the probability is 171 900 \dfrac{171}{900}

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