Question #b9a4f

1 Answer
Jul 9, 2015

It is a discrete distribution whose probability density function is given by #f(x) = {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 (x) = 4 C x. 48 C 6-x / 52 C x#
for #x = 0, 1, ...4#