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JEE Main & Advanced JEE Main Paper (Held On 8 April 2017)

  • question_answer
    Three persong P, Q and R independently try to hit a target. If the probabilities of their hitting the target are \[\frac{3}{4},\frac{1}{2}\]and\[\frac{5}{8}\]respectively, then the probability that the target is hit by P or Q but not by R is : [JEE Online 08-04-2017]

    A) \[\frac{39}{64}\]                                              

    B) \[\frac{21}{64}\]

    C) \[\frac{9}{64}\]                                

    D) \[\frac{15}{64}\]

    Correct Answer: B

    Solution :

                    \[\left( \frac{3}{4} \right)\left( \frac{1}{2} \right)\left( \frac{3}{8} \right)+\left( \frac{1}{4} \right)\left( \frac{1}{2} \right)\left( \frac{3}{8} \right)+\left( \frac{3}{4} \right)\left( \frac{1}{2} \right)\left( \frac{3}{4} \right)\]                 \[=\frac{12+9}{64}\]                 \[=\frac{27}{64}\]


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