A student is randomly selected at Tech University. The probability of the student being female is 0.58, while the probability of that student being an out of state resident is 0.15. If a student being an out of state resident is independent of their gender, what is the probability of randomly selecting a female out of state resident at Tech University?

A. 0.430
B. 0.087
C. 0.730
D. 0.063

Question

A student is randomly selected at Tech University.  The probability of the student being female is 0.58, while the probability of that student being an out of state resident is 0.15.  If a student being an out of state resident is independent of their gender, what is the probability of randomly selecting a female out of state resident at Tech University?


	A.	0.430
	B.	0.087
	C.	0.730
	D.	0.063

jim_thompson5910 · Answer

Draw the following probability tree

|dw:1399421360137:dw|

jim_thompson5910 · Answer

The values on the very right are the result of multiplying each branch

For instance this value 0.087

|dw:1399421814353:dw|

is found by multiplying the values along this branch

|dw:1399421830550:dw|

so 0.58*0.15 = 0.087