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KVPY Sample Paper KVPY Stream-SX Model Paper-2

  • question_answer
    For a biased die the probabilities for the different faces to turn up are given below:
    Faces: 1 2 3 4 5 6
    Probabilities: 0.10 0.32 0.21 0.15 0.05 0.17
    The die is tossed & you are told that either face one or face two has turned up. Then the probability that it is face one is:

    A) 1/6                               

    B) 1/10

    C) 5/49                             

    D) 5/21

    Correct Answer: D

    Solution :

    \[P\,(A/A\cup B)=\frac{P\,(A)\,\,(A\cup B)}{P\,(A\cup B)}=\frac{P\,(A)}{P\,(A)+P\,(B)}\] \[=\frac{0.10}{0.10+0.32}\]


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