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KVPY Sample Paper KVPY Stream-SX Model Paper-21

  • question_answer
    A missile is fired at a plane on which there are two targets I & II. The probability of hiting target I is \[{{P}_{1}}\] & that of hiting 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 :

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


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