Answer to Question #200874 in Statistics and Probability for Anaya

Question

1. A stockroom clerk returns three safety helmets at random to three steel mill employees who had previously checked them. If Smith and Brown , in that order, receive one of the three hats. Find the probability distribution of the random variable that represents the number of correct matches.

Answer 1

If S, J, and B stand for Smith’s, Jones’s, and Brown’s helmets, respectively, then the possible arrangements in which the helmets may be returned and the number of correct matches are: