Answer to Question #301629 in Statistics and Probability for Lois

Question

An umbrella check girl returns 2 umbrellas at random to 2 customers who had previuosly checked in namely andrea and althea. If Andrea's umbrella was black and althea's umbrella was yellow. List the elements of the samplke space all possible orders in which the umbrellas can be returned and list all possible values of the random variable x the number of correct matches

Answer 1

Let's denote B - black, Y - yellow.

Sample space S is all possible outcomes.

$$S = \{BY, YB\}$$

Let $x$ be the random variable representing the number of correct matches. The possible values of $x$ are $0,2.$