2. Sample Papers
  3. KVPY

KVPY Sample Paper KVPY Stream-SX Model Paper-1

  • question_answer
    One ticket is selected at random from 50 tickets numbered 00, 01, 02,..., 49. Then, the probability that the sum of the digits on the selected ticket is 8 given that the product of these digits is zero, equals

    A) \[\frac{1}{14}\]                         

    B) \[\frac{1}{7}\]

    C) \[\frac{5}{14}\]                         

    D) \[\frac{1}{50}\]

    Correct Answer: A

    Solution :

    [a]
    A = Events that sum of digits on selected ticket is 8.
    \[A=\{08,17,26,35,44\}\]
    \[n\,(A)=5\,P(A)=\frac{5}{50}\]
    B = Events that product of digits is zero
    B= {00, 01,..., 10, 20, 30, 40}
    \[n\,(B)=14,\]\[P\,(B)=\frac{14}{50}\]
    \[A\cap B=\{08\}\]
    \[n\,(A\cap B)=1P\,(A\cap B)=\frac{1}{50}\]
    Required probability \[P\left( \frac{A}{B} \right)=\frac{P(A\cap B)}{P\,(B)}\]
    \[=\frac{1/50}{14/50}=\frac{1}{4}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner