15.5.20 Two-dimensional random variables and their characteristics

Problem: From an urn, containing 6 white and 4 black balls, Jon and Peter take out 3 balls, without returning them, in the following order: Peter - Jon - Jon. Random variables: \( X \) is the number of white balls, that Jon has, \( Y \) is the number of white balls, that Peter has. Describe the distribution law of the random vector \( (X, Y) \). Find the correlation coefficient \( p[X, Y] \).