JEE Main & Advanced Mathematics Probability Question Bank Definition of probability

  • question_answer
    The probabilities of a problem being solved by two students are \[\frac{1}{2},\frac{1}{3}\]. Then the probability of the problem being solved is                                                                 [Pb. CET 2001]

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

    B)                 \[\frac{4}{3}\]

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

    D)                 1

    Correct Answer: A

    Solution :

                    The probability that the problem is not being solved by any of two students = \[\left( 1-\frac{1}{2} \right)\,\left( 1-\frac{1}{3} \right)\]=\[\frac{1}{3}\] and probability that the problem is solved = \[1-\frac{1}{3}=\frac{2}{3}\].


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