Let there be 10 white balls and 12 black balls in a bag. Let four balls be selected from this bag on condition that they are not replaced. Which of the following is the probability that the X random variable will take the value zero to represent the number of black balls as a result of testing the X random variable?    a) 0.015  B) 0.02  NS) 0.30  D) 0.20  TO) 0.15

Hypergeometric Distribution: Suppose there is a finite population of size N that contains exactly K objects that has a specified feature. A random sample of size n has been drawn from this population without replacement, wherein each draw is either a success or a failure. Then the probability distribution of the number of objects in the sample with that feature, called success, is said to follow Hypergeometric distribution.

Let us assume X be a random variable denoting the number of success.

Then $X~\text{Hypergeometric}(N,K,n)$, N, K and n being the parameters of the hypergeometric distribution.

The probability mass function of X is given by,