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KVPY Sample Paper KVPY Stream-SX Model Paper-7

  • question_answer
    An unbiased coin is tossed. If the outcome is a head then a pair of unbiased dice is rolled and the sum of obtained on this is noted. If the toss of the Coin resluts in tail in tail then a card from a well-shuffled cards numbered 1, 2, 3, ..., 9 is randomly the number on the card is noted. The that the noted number is either 7 or 8 is:

    A) \[\frac{13}{36}\]                                   

    B)  \[\frac{15}{72}\]

    C) \[\frac{19}{72}\]                       

    D)        \[\frac{19}{36}\]

    Correct Answer: C

    Solution :

    P (7 or 8)
    a. \[=P(H)P(7\,or\,8)+P(T)P(7\,or\,8)\]
    b. \[=\frac{1}{2}\times \frac{11}{36}+\frac{1}{2}\times \frac{2}{9}=\frac{11}{72}+\frac{1}{9}=\frac{19}{72}.\]


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