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

  • question_answer
    A bag contains 4 white and 3 red balls. Two draws of one ball each are made without replacement. Then the probability that both the balls are red is

    A)            \[\frac{1}{7}\]                          

    B)            \[\frac{2}{7}\]

    C)            \[\frac{3}{7}\]                          

    D)            \[\frac{4}{7}\]

    Correct Answer: A

    Solution :

               Required probability \[=\frac{{}^{3}{{C}_{1}}}{{}^{7}{{C}_{1}}}\times \frac{{}^{2}{{C}_{1}}}{{}^{6}{{C}_{1}}}=\frac{1}{7}\].


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