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

  • question_answer
    Three mangoes and three apples are in a box. If two fruits are chosen at random, the probability that one is a mango and the other is an apple is                                                         [EAMCET 1990]

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

    B)            \[\frac{3}{5}\]

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

    D)            None of these

    Correct Answer: B

    Solution :

               Required probability \[=\frac{{}^{3}{{C}_{1}}\times {}^{3}{{C}_{1}}}{{}^{6}{{C}_{2}}}=\frac{3\times 3}{15}=\frac{3}{5}.\]


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