A student selecting courses for the next year of high school selects one of the three history classes, one of the six PE classes, and one of the four English classes. Within each category, assume each class is equally likely to be chosen. Some of the classes are AP (Advanced Placement) classes. History Classes PE Classes English Classes
AP History

US History

South American History

Tennis

Volleyball

Gymnastics

Shuffleboard

Ping Pong

Basketball

AP English

Writing a Term Paper

Creative Writing

Poetry

While within a category, each class is equally likely, if a student chooses AP History the student always chooses AP English. Fred found the likelihood that a random student will take AP History, Tennis, and Writing a Term Paper as follows:

Is Fred correct? Explain your answer.