JEE Main & Advanced Mathematics Probability Question Bank Use of permutations and combinations in probability

  • question_answer
    A box contains 10 red balls and 15 green balls. If two balls are drawn in succession then the probability that one is red and other is green, is

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

    B)            \[\frac{1}{2}\]

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

    D)            None of these

    Correct Answer: B

    Solution :

               Required probability \[=\frac{(10\,.\,15)}{{}^{25}{{C}_{2}}}=\left( \frac{2\,.\,10\,.\,15}{25\,.\,24} \right)=\frac{1}{2}.\]


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