document.write( "Question 1185517: A box contains twenty-one doughnuts. Thirteen are filled with vanilla creme and eight are filled with lemon creme. Millicent randomly selects three doughnuts from the box. (The doughnuts all look the same.)\r
\n" ); document.write( "\n" ); document.write( "What is the probability that Millicent gets at least one doughnut that is filled with lemon creme?\r
\n" ); document.write( "\n" ); document.write( "Write your answer as a decimal, rounded to three significant figures.
\n" ); document.write( "

Algebra.Com's Answer #816462 by Boreal(15235)\"\" \"About 
You can put this solution on YOUR website!
21C3 possible choices
\n" ); document.write( "8C1*13C2 are ways for 1 lemon creme=624 ways
\n" ); document.write( "8C2*13C1 are for 2 =364 ways
\n" ); document.write( "8C3*13C0 are for three=56 ways
\n" ); document.write( "total 1044 ways/1330=0.785 probability
\n" ); document.write( "-
\n" ); document.write( "also look at it for ways can choose 3 filled with vanilla creme and subtract that probability from 1, since everything else has at least 1 lemon creme.
\n" ); document.write( "13C3/21C3=0.2150
\n" ); document.write( "1-0.2150=0.785
\n" ); document.write( "
\n" ); document.write( "
\n" );