10th Class Mathematics Probability Question Bank Probability

  • question_answer
    When two dice are thrown, the probability of getting a number always greater than 4 on the second dice is ___.

    A)  \[\frac{1}{6}\]                       

    B)  \[\frac{1}{3}\]                       

    C)  \[\frac{1}{36}\]                     

    D)  \[\frac{5}{36}\]         

    Correct Answer: B

    Solution :

    Total number of outcomes when two dice are thrown = 36. Let A be the event of getting a number always greater than 4 on second dice. \[\therefore \] \[A=\{(1,5),(1,6),\,(2,5),(2,6),(3,5),(3,6)\] \[(4,5),(4,6),(5,5),(5,6),(6,5),(6,6)\}\] \[\therefore \]    Number of possible outcomes =12 \[\therefore \]    \[P(A)=\frac{12}{36}=\frac{1}{3}\]


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