### Home > CCA2 > Chapter 11 > Lesson 11.2.3 > Problem 11-66

As part of a lesson in survey design, Janette asks her study team of four students the following question: “*Given the association between movie violence and crime, what kind of movie would you rather watch: romantic comedy or action?*” All four indicate they would rather watch a romantic comedy. She states in her conclusion, “*It is obvious romantic comedies are the best.*”

If the population of movie goers is actually equally split between those who prefer romantic comedies versus action movies, what is the chance of finding a group of

who unanimously prefer one genre over the other? Is it plausible? Draw a tree diagram.

Note: This is similar to flippingcoins because each person only has two choices. Write a few sentences commenting on the validity of Janette’s methods and her conclusion.

How was the question introduced?

Also, how many choices were students given?