The two-way table shows the distribution of gender to favorite film genre for the senior class at Mt. Rose High School.
A 6-column table has 3 rows. The first column has entries M, F, total. The second column is labeled comedy with entries 36, 54, 90. The third column is labeled horror with entries 16, 22, 38. The fourth column is labeled drama with entries 16, 24, 40. The fifth column is labeled Action with entries 28, 44, 72. The sixth column is labeled Total with entries 96, 144, 240.
Which statement is true?
The probability of randomly selecting a student who has a favorite genre of drama and is also female is about 17 percent.
Event F for female and event D for drama are independent events.
The probability of randomly selecting a male student, given that his favorite genre is horror, is StartFraction 16 Over 40 EndFraction.
Event M for male and event A for action are independent events.