The Bulldogs have won approximately 67% of their 30 baseball games this season. The Bulldogs won 9 of the 10 games they played when Diego was the starting pitcher. Are the events “the Bulldogs win the game” and “the Bulldogs win the game when Diego is the starting pitcher” dependent or independent events? Explain your reasoning.

Describe two events that are independent. Explain your reasoning.

The table displays the number and type of tickets bought for a student art show held on a Saturday and Sunday.

The addition rule states that given events A and B, \(P(\text{A or B}) = P(\text{A}) + P(\text{B}) - P(\text{A and B})\). Show how to apply the addition rule for the events “a child ticket is bought for the student art show” and “the day on the ticket is Sunday.”

A researcher surveys 200 randomly selected college students to determine the number of education majors and mathematics majors. 16% of the students surveyed are education majors and 6% of the students surveyed are mathematics majors. 2% of the students are both education majors and mathematics majors. What percentage of the students surveyed are education majors or mathematics majors?

The table shows the preferences of 40 students surveyed about the design of a new t-shirt for students who are graduating this year.

What is the probability that a student surveyed, selected at random, preferred a pink t-shirt with long sleeves?