The probabilities of winning the race by two athletes $A$ and $B$ are $\frac{1}{5}$ and $\frac{1}{4}.$ The probability of winning by neither of them, is

  • A

    $\frac{3}{5}$

  • B

    $\frac{3}{4}$

  • C

    $\frac{2}{5}$

  • D

    $\frac{4}{5}$

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  • [IIT 1979]