A random experiment consists of selecting three balls in succession from and urn containing 3 black balls and 2 white balls.
a) Specify the sample space for this experiment.
b) Suppose that the experiment is modified so that the ball is immediately put back into
the urn after each selection. What is the sample space now?
c) What is the relative frequency of the outcome (white, black, white) in a large number of
repetitions of the experiment in part a? In part b?
d) Does the outcome of second and third draw from the urn depend in any way on the
outcome of earlier draws in either of these experiments?