Compute Conditional Probabilities
-A Researcher at a Large University Wanted $\frac { 4 } { 9 }$

Compute Conditional Probabilities
-A researcher at a large university wanted to investigate if a student's seat preference was related in any way to the gender of the student. The researcher divided the lecture room into three sections (1-front, middle of the room, 2-front, sides of the classroom, and 3-back of the classroom, both middle and sides) and noted where his students sat on a particular day of the class. The researcher's summary table is provided below. Suppose a person sitting in the front, middle portion of the class is randomly selected to answer a question. Find the probability the person selected is a female.

A) $\frac { 4 } { 9 }$
B) $\frac { 4 } { 13 }$
C) $\frac { 9 } { 13 }$
D) $\frac { 1 } { 6 }$