document.write( "Question 979302: Three statistics professors and seven chemistry professors are available to be advisors to a student organization. The student organization needs two of the professors to be advisors. If each professor has an equal chance of being selected, what is the probability that both professors are chemistry professors? \n" ); document.write( "

Algebra.Com's Answer #600599 by KMST(5328) $\"\"$ $\"About$

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How many different pairs of advisors can you form from $\"3%2B7=10\"$ professors?
\n" ); document.write( "You can form $\"10%2A9%2F2=45\"$ different two-professor sets advisors.
\n" ); document.write( "How many of those $\"45\"$ different sets advisors have two chemistry professors?
\n" ); document.write( "How many different pairs of chemistry professors can you form from $\"7\"$ chemistry professors?
\n" ); document.write( "You can from $\"7%2A6%2F2=21\"$ sets of two chemistry professors.
\n" ); document.write( "What fraction of the $\"45\"$ sets of possible advisors are those $\"21\"$ sets of two chemistry professors?
\n" ); document.write( "They are $\"21%2F45=7%2F15\"$ of all the possible sets of two professors that could be advisors.
\n" ); document.write( "So, the probability that both professors are chemistry professors is
\n" ); document.write( " $\"7%2F15=about\"$ $\"0.467=about\"$ $\"%2246.7%25%22\"$ \n" ); document.write( "

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