Question: A local company has been in trouble recently over hiring male applicants rather than female applicants. The last three employees hired were all male, even though the six applicants for the three positions included three females. The company claims that it has cleaned up its act. In subsequent hiring round they hired two women and one man out of a pool of 8 equally qualified candidates (5 women and 3 men). What is the probability of that hiring outcome occurring? Do you see some progress?