document.write( "Question 285511: How many different ways are there for an admissions officer to select a group of 8 college candidates from a group of 12 applicants for an interview? \r
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\n" ); document.write( "\n" ); document.write( "and \r
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\n" ); document.write( "\n" ); document.write( "Which pair has equally likely outcomes? List the letters of the two choices below which have equal probabilities of success, separated by a comma.
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\n" ); document.write( "A. rolling a total of 4 on two fair six sided dice
\n" ); document.write( "total possible combinations = 3 (1,3 and 3,1 and 2,2)
\n" ); document.write( "total sample size is ???
\n" ); document.write( "3 / ???
\n" ); document.write( "B. drawing a black seven out of a standard 52 card deck given it’s not a face card or an ace.
\n" ); document.write( "2 / (52-16) = 2/36 = 1/18
\n" ); document.write( "C. rolling a total of 11 on two fair six sided dice ??
\n" ); document.write( "D. rolling a total of 7 on two fair six sided dice ??
\n" ); document.write( "E. drawing a three out of a standard 52 card deck given it’s not a face card or an ace.
\n" ); document.write( "3 / (52-16) = 3/39 = 1/13
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Algebra.Com's Answer #207044 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
How many different ways are there for an admissions officer to select a group of 8 college candidates from a group of 12 applicants for an interview?
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\n" ); document.write( "12C8 = 12C4 = (12*11*10*9)/(1*2*3*4) = 3*11*5*3 = 45*11 = 495 ways
\n" ); document.write( "and \r
\n" ); document.write( "\n" ); document.write( "Which pair has equally likely outcomes? List the letters of the two choices below which have equal probabilities of success, separated by a comma. \r
\n" ); document.write( "\n" ); document.write( "A. rolling a total of 4 on two fair six sided dice
\n" ); document.write( "total possible combinations = 3 (1,3 and 3,1 and 2,2)
\n" ); document.write( "total sample size is ???
\n" ); document.write( "3 /36 = 1/12
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\n" ); document.write( "B. drawing a black seven out of a standard 52 card deck given it’s not a face card or an ace.
\n" ); document.write( "Ans: 2 / (52-16) = 2/36 = 1/18
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\n" ); document.write( "C. rolling a total of 11 on two fair six sided dice
\n" ); document.write( "Ans: 2/36 = 1/18
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\n" ); document.write( "D. rolling a total of 7 on two fair six sided dice
\n" ); document.write( "Ans: 6/26 = 1/6
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\n" ); document.write( "E. drawing a three out of a standard 52 card deck given it’s not a face card or an ace.
\n" ); document.write( "Ans: 4 / (52-16) = 4/39
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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