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Multiple choice

A box contains a normal coin and a doubly headed coin. A coin selected at random and tossed twice, fell headwise on both the occasions. The probability that the drawn coin is a doubly headed coin is?

  1. $\displaystyle\frac{2}{3}$
  2. $\displaystyle\frac{5}{8}$
  3. $\displaystyle\frac{3}{4}$
  4. $\displaystyle\frac{4}{5}$
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