In a recent case in the district court, 3 women brought suit against a local utility company charging sex discrimination. Of the 9 people who were eligible for promotion, 4 were women. 3 of the 9 were actually chosen for promotions. Only one of those promoted was a woman. The other 3 eligible women sued the utility. A major consideration in the case hinged on the probability that out of the 3 people promoted, no more than one woman could be chosen by chance.

If gender was not a factor, what is the probability that no more than one of the 3 promotions would go to a woman? Please include minitab output.