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  • Question
  • Two dice are thrown together .What is the probability that the sum of the number on the two faces is divided by 4 or 6.


  • Options
  • A. 7/18
  • B. 14/35
  • C. 8/18
  • D. 7/35

  • Correct Answer
  • 7/18 

    Explanation

    Clearly, n(S) = 6 x 6 = 36
    Let E be the event that the sum of the numbers on the two faces is divided by 4 or 6.
    Then,E = {(1,3),(1,5),(2,2),(2,4),(2,6),(3,1),(3,3),(3,5),(4,2),(4,4),(5,1),(5,3),(6,2),(6,6)}
    n(E) = 14.
    Hence, P(E) = n(E)/n(S) = 14/36 = 7/18


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