JEE Main & Advanced Mathematics Probability Question Bank Definition of probability

  • question_answer
    Two integers are chosen at random and multiplied. The probability that the product is an even integer is [AMU 1999]

    A)                 \[\frac{1}{2}\]       

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

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

    D)                 \[\frac{4}{5}\]

    Correct Answer: B

    Solution :

               If both integers are even then product is even.             If both integers are odd then product is odd.                 If one integer is odd and other is even, then product is even. \ Required probability \[=\frac{2}{3}\].


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