document.write( "Question 1202243: A pond contains five catfish and six bluegill. If seven fish are caught at random, what's the probability that exactly three are catfish? \n" ); document.write( "

Algebra.Com's Answer #836918 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "A pond contains five catfish and six bluegill.
\n" ); document.write( "If seven fish are caught at random, what's the probability that exactly three are catfish?
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document.write( "This probability is the ratio of two quantities.\r\n" );
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document.write( "The quantity in the denominator is the number of all septuplets from 5+6 = 11 fish,\r\n" );
document.write( "which is the number of all combinations   = 330.\r\n" );
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document.write( "The quantity in the numerator is the product   =  = 10*15 = 150.\r\n" );
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document.write( "It is the number of all septuplets that consist of 3 catfish and 7-3 = 4 bluegill.\r\n" );
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document.write( "The final probability is   =  = .    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved, with complete explanations.\r
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\n" ); document.write( "\n" ); document.write( "Comment from student : Thank you for the answer and more importantly the explanation! I was missing
\n" ); document.write( "the bluegill combination in the numerator, and I see why now. Much appreciated.\r
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\n" ); document.write( "\n" ); document.write( "My response :   As I see your reaction/comment, showing your interest to the subject, I can recommend you to look into the lesson\r
\n" ); document.write( "\n" ); document.write( "                            - Elementary Probability problems related to combinations \r
\n" ); document.write( "\n" ); document.write( "                        in this site, where you will find many other similar (and different) problems solved.\r
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\n" ); document.write( "\n" ); document.write( "                        Learn the entire subject from there ( ! )\r
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\n" ); document.write( "\n" ); document.write( "Happy learning ( ! )\r
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\n" ); document.write( "\n" ); document.write( "When you will need to learn another/next subject, come again and ask ( ! )\r
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