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2004 AMC 12B Question 4

AMC12 · 2004 AMC 12B

Question 4

An integer $x,$ with $10 \le x \le 99,$ is to be chosen. If all choices are equally likely, what is the probability that at least one digit of $x$ is a $7?$
  1. $\dfrac{1}{9}$
  2. $\dfrac{1}{5}$
  3. $\dfrac{19}{90}$
  4. $\dfrac{2}{9}$
  5. $\dfrac{1}{3}$