document.write( "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.
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document.write( "a Draw a tree diagram and place probabilities on each branch...I have done this part..\r
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document.write( "b What is the probability that both would prefer a Mac
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document.write( "c What is the probability that at least one would prefer a Mac
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document.write( "d What is the probability that one would prefer a Mac and one a PC
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document.write( "e What is the probability that one would prefer a Mac after one who prefers a PC \n" );
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Algebra.Com's Answer #667138 by stanbon(75887)![]() ![]() ![]() 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. \n" ); document.write( "P(prefer pc) = 8/12 = 2/3 \n" ); document.write( "P(prefer MAC) = 1/3 \n" ); document.write( "------------------------------ \n" ); document.write( "Randomly select two students with no replacement between selections. \n" ); document.write( "a Draw a tree diagram and place probabilities on each branch...I have done this part.. \n" ); document.write( "b What is the probability that both would prefer a Mac:: (1/3)^2 = 1/9 \n" ); document.write( "c What is the probability that at least one would prefer a Mac:: 1-(2/3)^2 \n" ); document.write( "= 1 - (4/9) = 5/9 \n" ); document.write( "------------------------- \n" ); document.write( "d What is the probability that one would prefer a Mac and one a PC \n" ); document.write( ":: (1/3)(2/3) = 2/9 \n" ); document.write( "---------------------------- \n" ); document.write( "e What is the probability that one would prefer a Mac after one who prefers a PC\r \n" ); document.write( "\n" ); document.write( "P(Mac | PC) = P(Mac) = 1/3 \n" ); document.write( "------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "----------- \n" ); document.write( " |