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.

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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
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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
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d What is the probability that one would prefer a Mac and one a PC
:: (1/3)(2/3) = 2/9
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e What is the probability that one would prefer a Mac after one who prefers a PC
P(Mac | PC) = P(Mac) = 1/3
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Cheers,
Stan H.
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