A bag contains tickets numbered $1$ to $50$. One ticket is drawn. Probability that the number is a perfect…

A bag contains tickets numbered $1$ to $50$. One ticket is drawn. Probability that the number is a perfect square is:
  1. $\dfrac{7}{50}$
  2. $\dfrac{6}{50}$
  3. $\dfrac{1}{10}$
  4. $\dfrac{1}{5}$

Solution

Perfect squares $\le 50$: $1,4,9,16,25,36,49$ ($7$ numbers). $P = \dfrac{7}{50}$.

Asked in: IMO

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