JEE Main & Advanced Mathematics Probability Question Bank Definition of probability

  • question_answer
    Two dice are thrown simultaneously. What is the probability of obtaining a multiple of 2 on one of them and a multiple of 3 on the other                                                [AI CBSE 1981]

    A)                 \[\frac{5}{36}\]    

    B)                 \[\frac{11}{36}\]

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

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

    Correct Answer: B

    Solution :

               Favourable cases for one are three i.e. 2, 4 and 6 and for other are two i.e. 3, 6.            Hence required probability \[=\left[ \left( \frac{3\times 2}{36} \right)\text{ }2-\frac{1}{36} \right]=\frac{11}{36}\]                 {As same way happen when dice changes numbers among themselves}


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