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

  • question_answer
    A bag contains 8 black and 7 white balls. Two balls are drawn at random. Then for which the probability is more

    A)            Both balls are white

    B)            One ball is white and one is black

    C)            Both balls are black

    D)            All of the above are equals

    Correct Answer: B

    Solution :

               Probability that both balls are white  \[=\frac{{}^{7}{{C}_{2}}}{{}^{15}{{C}_{2}}}=\frac{1}{5}\]                    Probability that both balls are black \[=\frac{{}^{8}{{C}_{2}}}{{}^{15}{{C}_{2}}}=\frac{4}{15}\]                    Probability that one ball is white and one is black                    \[=\frac{{}^{7}{{C}_{1}}\times {}^{8}{{C}_{1}}}{{}^{15}{{C}_{2}}}=\frac{8}{15}\].


You need to login to perform this action.
You will be redirected in 3 sec spinner