document.write( "Question 1025215: An urn contains 5 yellow balls and 4 green balls. 2 balls are drawn randomly at the same time. Let A= Event both balls are the same color. Let B= Event both balls are yellow. Calculate the Pr(B|A) and Pr(A|B). Simplify as much as possible. \n" ); document.write( "

Algebra.Com's Answer #640505 by robertb(5830) $\"\"$ $\"About$

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Note that the event B is a proper subset of the event A, or B⊂A. This means
\n" ); document.write( "P(A∩B) = P(B).\r
\n" ); document.write( "\n" ); document.write( "Now P(B) = $\"C%285%2C2%29%2FC%289%2C2%29+=+5%2F18\"$ . Also, \r
\n" ); document.write( "\n" ); document.write( "P(A) = $\"%28C%285%2C2%29%2BC%284%2C2%29%29%2FC%289%2C2%29+=+4%2F9\"$ \r
\n" ); document.write( "\n" ); document.write( "==> P(B|A) = P(A∩B)/P(A) = P(B)/P(A) = $\"%285%2F18%29%2F%284%2F9%29+=+highlight%285%2F8%29\"$ .\r
\n" ); document.write( "\n" ); document.write( "Also,
\n" ); document.write( "P(A|B) = P(A∩B)/P(B) = P(B)/P(B) = $\"highlight%281%29\"$ . \n" ); document.write( "

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