# Question #b9a4f

Jul 9, 2015

It is a discrete distribution whose probability density function is given by $f \left(x\right) = \frac{m C x . n C n - x}{m + n C n}$

#### Explanation:

Suppose 6 cards are drawn at random from a well shuffled deck of cards. Let X be the number of aces among the four cards drawn. Then X is a random variable with range {0, 1, 2, 3, 4}. The probability density function of X is given by
$f \left(x\right) = 4 C x . 48 C 6 - \frac{x}{52} C x$
for $x = 0 , 1 , \ldots 4$