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JEE Math Practice Question

Four persons can hit a target correctly with probabilities $${1 \over 2}$$, $${1 \over 3}$$, $${1 \over 4}$$ and $${1 \over 8}$$ respectively. if all hit at the target independently, then the probability that the target would be hit, is :

  1. A.$${{25} \over {32}}$$
  2. B.$${{25} \over {192}}$$
  3. C.$${{1} \over {192}}$$
  4. D.$${{7} \over {32}}$$

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