document.write( "Question 1153768: A bowl contains 6 red chips, 5 blue chips, and 3 white chips. If three
\n" ); document.write( "chips are drawn, determine the probability that:\r
\n" ); document.write( "\n" ); document.write( "a. the chips are of different colors?\r
\n" ); document.write( "\n" ); document.write( "b. the chips are all red?\r
\n" ); document.write( "\n" ); document.write( "c. two of three chips are blue?
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Algebra.Com's Answer #776077 by greenestamps(13203)\"\" \"About 
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document.write( "                       number of ways to get desired outcome\r\n" );
document.write( "P(desired outcome) = ------------------------------------------\r\n" );
document.write( "                     number of ways to choose 3 of the 14 chips


\n" ); document.write( "In every case the denominator of the fraction is

\n" ); document.write( "\"C%2814%2C3%29+=+364\"

\n" ); document.write( "a. the chips are all different colors

\n" ); document.write( "We need to choose 1 of the 6 red AND 1 of the 5 blue AND 1 of the 3 white:

\n" ); document.write( "\"C%286%2C1%29%2AC%285%2C1%29%2AC%283%2C1%29+=+6%2A5%2A3+=+90\"

\n" ); document.write( "P(all different colors) = 90/364

\n" ); document.write( "b. the chips are all red

\n" ); document.write( "We need to choose 3 of the 6 red AND 0 of the 5 blue AND 0 of the 3 white:

\n" ); document.write( "\"C%286%2C3%29%2AC%285%2C0%29%2AC%283%2C0%29+=+20%2A1%2A1+=+20\"

\n" ); document.write( "P(all 3 red) = 20/364

\n" ); document.write( "c. 2 of the 3 are blue

\n" ); document.write( "We need to choose 2 of the 5 blue and 1 of the 9 red or white:

\n" ); document.write( "\"C%285%2C2%29%2AC%289%2C1%29+=+10%2A9+=+90\"

\n" ); document.write( "P(2 blue) = 90/364

\n" ); document.write( "Simplify the fractions, or convert to decimals, if required....

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