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KVPY Sample Paper KVPY Stream-SX Model Paper-4

  • question_answer
    A missile is fired at a plane on which there are two targets I and II. The probability of hitting target I is \[{{P}_{1}}\] & that of hitting the II is \[{{P}_{2}}\] If it is known that target I is not hit, then the probability that the target II is hit is -

    A) \[\frac{{{P}_{2}}}{{{P}_{1}}+{{P}_{2}}-{{P}_{1}}{{P}_{2}}}\]      

    B)  \[\frac{{{P}_{2}}(1-{{P}_{1}})}{1-{{P}_{1}}{{P}_{2}}}\]

    C) \[{{P}_{2}}(1-{{P}_{1}})\]                  

    D) \[\frac{{{P}_{2}}}{1-{{P}_{1}}}\]

    Correct Answer: D

    Solution :

    [D]
    A : Target I is hit =\[{{P}_{1}};\]
    B : Target II is hit = \[{{P}_{2}};\]
    C : none is hit \[1-({{P}_{1}}+{{P}_{2}})\]
    \[\Rightarrow P(E)=\frac{{{P}_{2}}}{1-{{P}_{1}}}\]


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