JEE Main & Advanced AIEEE Solved Paper-2010

  • question_answer
      An urn contains nine balls of which three are red, four are blue and two are green. Three balls are drawn at random without replacement from the urn. The probability that the three balls have different colours is -       AIEEE  Solved  Paper-2010

    A) \[\frac{1}{3}\]   

    B)                        \[\frac{2}{7}\]                   

    C)        \[\frac{1}{21}\]                

    D)        \[\frac{2}{23}\]

    Correct Answer: B

    Solution :

    Total balls = 3 red balls + 4 blue balls + 2 green balls = 9 balls required probability\[=\frac{^{3}{{C}_{1}}{{\times }^{4}}{{C}_{1}}{{\times }^{2}}{{C}_{1}}}{^{9}{{C}_{3}}}=\frac{2}{7}\]


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