Question: Cyber-Plastics, Inc., is in search of a CEO and a CFO. The company has a short list of candidates for each position. The CEO candidates graduated from Chicago (C) and three Ivy League universities: Harvard (H), Princeton (P), and Yale (Y). The three CFO candidates graduated from MIT (M), Northwestern (N), and two Ivy League universities: Dartmouth (D) and Brown (B). One candidate from each of the respective lists will be chosen randomly to fill the positions. The event of interest is that both positions are filled with candidates from the Ivy League.

a. Determine whether the outcomes are equally likely.

b. Determine the number of equally likely outcomes.

c. Define the event of interest.

d. Determine the number of outcomes associated with the event of interest.

e. Compute the classical probability of the event of interest using Equation 4.1.