# Four balls are drawn from a bag containing 5 black, 6 white and 7 red balls. Let X is no. of white balls drawn. find the probability mass function or probability distribution of X.

2
by stswati14

2014-09-19T01:00:38+05:30
There are 18 ways to selecting 4 balls from 5 black, 6 white, 7 red balls
we can select x from 6 white balls and 4-x from remaining balls in (6)(12) ways. hence
f(x) = (6)(12) / 18   x = 0,1,2,3,4
2014-09-19T05:58:37+05:30

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There are four while balls (W) and 12 other balls (O) in the bag. Four balls are drawn one after another, let us say. The drawing of 4 balls are independent  events and mutually exclusive. So probabilities can be multiplied.

X = event that X number of the four drawn balls are white balls.

P(X=0) = all drawn balls are non-white.

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