A frequency table of digits in a $3$-digit number shows digit $7$ has frequency $2$ out of $3$ digits. What…

A frequency table of digits in a $3$-digit number shows digit $7$ has frequency $2$ out of $3$ digits. What fraction of digits is $7$?
  1. $\dfrac{1}{3}$
  2. $\dfrac{2}{3}$
  3. $\dfrac{1}{2}$
  4. $\dfrac{3}{2}$

Solution

Required fraction $= \dfrac{2}{3}$.

Asked in: IMO

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