10th Class Mathematics Probability Question Bank Probability

  • question_answer
    Two fair dices are thrown. Given that the sum on the die is less than or equal to 4, find the probability that only one dice shows two.

    A)  \[\frac{1}{4}\]                         

    B)  \[\frac{1}{2}\]

    C)  \[\frac{2}{3}\]                         

    D)  \[\frac{1}{3}\]

    Correct Answer: D

    Solution :

    (d): The possible outcomes are: (1,1); (1,2); (2,1), (2,2); (3,1); (1,3). Out of six cases, in two cases there is exactly one ?2? on only one of the dice. Thus, the correct answer is 2/6 = 1/3. This question needs careful reading. The entire sample space of 36 events [(1, 1).........(12, 6)]; (2, 1).............(2, 6)...........(6, 1) to (6, 6)] is not to be considered as the sample space is restricted to six events by the statement ?given that.........or equal to 4? in the question.


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