document.write( "Question 413624: I was wondering if I could get confirmation if I got this problem right.
\n" ); document.write( "3 cans were accidentally filled with regular soda in a 12 pack of diet soda. 2 cans are selected randomly:
\n" ); document.write( "a.) what is the probabilty that both cans are diet soda.
\n" ); document.write( "C(3,2)/(12,2)= 0.045\r
\n" ); document.write( "\n" ); document.write( "b.)what is the probabilty that both cans are regular.
\n" ); document.write( "C(10,2)/C(12,2)= 0.68\r
\n" ); document.write( "\n" ); document.write( "c.) what is the probabiltiy that exactly 1 can is diet and 1 is regular.
\n" ); document.write( "DIET: C(3,1)/C(12,1)= 0.12\r
\n" ); document.write( "\n" ); document.write( "REG: C(10,1)/C(12,1)= 0.12
\n" ); document.write( "Thanks for a ll your help,
\n" ); document.write( "Kim \n" ); document.write( "

Algebra.Com's Answer #290240 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!
I was wondering if I could get confirmation if I got this problem right.
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\r\n" );
document.write( "You have the diet and the regular reversed, for your answer to (a) is \r\n" );
document.write( "the answer for (b).  \r\n" );
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document.write( "Your answer for (b) would be the answer for (a) except that you put \r\n" );
document.write( "10 where you should have 9.  There are 9 diet cans to choose from, \r\n" );
document.write( "not 10. \r\n" );
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document.write( "Remember there are 9 diet cans and 3 regular cans, not the other way around.\r\n" );
document.write( "The other tutor got them switched too.\r\n" );
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document.write( "You interpreted (c) as asking for two separate answers but it is just\r\n" );
document.write( "one problem asking for 1 answer.\r\n" );
document.write( " \r\n" );
document.write( "---------------------------------\r\n" );
document.write( "

\n" ); document.write( "3 cans were accidentally filled with regular soda in a 12 pack of diet soda. 2 cans are selected randomly:
\n" ); document.write( "a.) what is the probabilty that both cans are diet soda.
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\r\n" );
document.write( "There are 9 diet cans\r\n" );
document.write( "C(9,2)/C(12,2) = 0.5454... or 6/11\r\n" );
document.write( "

\n" ); document.write( "b.)what is the probabilty that both cans are regular.
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\r\n" );
document.write( "There are 3 regular cans\r\n" );
document.write( "C(3,2)/C(12,2)= 0.045... or 1/22\r\n" );
document.write( "

\n" ); document.write( "c.) what is the probability that exactly 1 can is diet and 1 is regular.
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\r\n" );
document.write( "This is not two problems. It's just one problem and has just one answer.\r\n" );
document.write( "[C(9,1)C(3,1)]/C(12,2) = (9*3)/66 = 9/22 \r\n" );
document.write( "\r\n" );
document.write( "Edwin

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