EMP Q.11

0. An urn contains 5 red and 10 black balls. Eight of them are placed in another urn. The chance that the latter then contains 2 red and 6 black balls is

  • Option : A
  • Explanation : Number of ways in which 8 balls can be drawn
    out of 15 is 15C8
    Number of ways of drawing 2 red balls is 5C2
    and corresponding to each of these 5C2 ways
    of drawing a red ball, there are IOC5 ways of
    drawing 6 black balls.
    Hence total number of ways in which 2 red
    and 6 black balls can be drawn = 5C2 X 10C6

    Required Probability = Probability

                                               =  140/429

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