SOLUTION: A study of college students shows that 8 out of 12 students prefer a pc computer system while 4 prefer a mac. Randomly select two students with no replacement between selections.

Question 1051689: A study of college students shows that 8 out of 12 students prefer a pc computer system while 4 prefer a mac. Randomly select two students with no replacement between selections.
a Draw a tree diagram and place probabilities on each branch...I have done this part..
b What is the probability that both would prefer a Mac
c What is the probability that at least one would prefer a Mac
d What is the probability that one would prefer a Mac and one a PC
e What is the probability that one would prefer a Mac after one who prefers a PC
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A study of college students shows that 8 out of 12 students prefer a pc computer system while 4 prefer a mac.
P(prefer pc) = 8/12 = 2/3
P(prefer MAC) = 1/3
------------------------------
Randomly select two students with no replacement between selections.
a Draw a tree diagram and place probabilities on each branch...I have done this part..
b What is the probability that both would prefer a Mac:: (1/3)^2 = 1/9
c What is the probability that at least one would prefer a Mac:: 1-(2/3)^2
= 1 - (4/9) = 5/9
-------------------------
d What is the probability that one would prefer a Mac and one a PC
:: (1/3)(2/3) = 2/9
----------------------------
e What is the probability that one would prefer a Mac after one who prefers a PC
P(Mac | PC) = P(Mac) = 1/3
-------------
Cheers,
Stan H.
-----------
RELATED QUESTIONS
if 7 out of 100 people prefer pizza to mac & cheese, how many students in a school of... (answered by roseo)

Suppose that past history shows that 60% of college students prefer Brand C cola. A... (answered by math_tutor2020)

Problem Two: In designing a new dormitory, a... (answered by stanbon)

A marketing research company is estimating which of two soft drinks college students... (answered by stanbon)

Can you please help assist me with problem I am having a hard time. 8) A marketing... (answered by stanbon)

A study done at a University shows that 80% of College students prefer pizza over chicken (answered by VFBundy)

The table below shows the number of college students who prefer a given pizza topping: (answered by venugopalramana)

About how many students would you expect to prefer computers in a school of 650 students? (answered by RAY100)

if 26 students out of 50 students prefer maths to English, what is the percentage of... (answered by richwmiller)