For example, Think an basket wich contains two types of balls, blacks and whites. Define drawing a white ball as a success and drawing a black ball as a failure (analogous to the binomial distribution). If the variable N describes the number of all balls in the basket and m describes the number of white marbles, then N − m corresponds to the number of black balls.
Now, assume (for example) that there are 5 white and 45 black balls in the basket. Close your eyes and draw 10 balls without replacement.
What is the probability that exactly 4 of the 10 are white?
- N=50, m=5, n=10, k=4
The probability is :