Dhruba Dasgupta
Dhruba Dasgupta
8 years ago

A bag contains 8 white and 4 red balls.Five balls are drawn at random.What is the probability that two of them are red and 3 are white


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Comments ( 3 )

  1. Sandirohit N
    Sandirohit N :
    3 years ago

    A bag contains 8 white balls and 4 red balls. Five balls are drawn at random. What is the probabity that 2 of them are red and 3 white?

  2. Kumar Chandan
    Kumar Chandan :
    8 years ago

    total number of Sample space = 12C5.
    No. of way to draw 2 red balls = 4C2
    No. of way to draw 3 white balls = 8C3.
    Total number of ways to draw 2 red and 3 white balls = 4C2 * 8C3.
    Probability that 2 red and 3 white balls are drawn is
    = (4C2*8C3)/12C5
    = (4*3/2*1)*(8*7*6/3*2*1)*(5*4*3*2*1/12*11*10*9*8)
    = 14/33

  3. Sudhakar Prajapati
    Sudhakar Prajapati :
    8 years ago

    probability that 2 red and 3 white balls are drawn is
    = (4C2*8C3)/12C5
    = (4*3/2*1)*(8*7*6/3*2*1)*(5*4*3*2*1/12*11*10*9*8)
    = 14/33

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