document.write( "Question 1209842: 4.24. There are two urns containing pens and pencils. Urn #1 contains three
\n" ); document.write( "pens and seven pencils and Urn #2 contains eight pens and four pencils.
\n" ); document.write( "(a) An urn is chosen at random and an object is drawn. What is the proba-
\n" ); document.write( "bility that it is a pencil?
\n" ); document.write( "(b) An urn is chosen at random and an object is drawn. If the object drawn
\n" ); document.write( "is a pencil, what is the probability that it came from Urn #1?
\n" ); document.write( "(c) If an urn is chosen at random and two objects are drawn simultaneously,
\n" ); document.write( "what is the probability that both are pencils?
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Algebra.Com's Answer #850818 by ikleyn(52858)\"\" \"About 
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\n" ); document.write( "4.24. There are two urns containing pens and pencils. Urn #1 contains three
\n" ); document.write( "pens and seven pencils and Urn #2 contains eight pens and four pencils.
\n" ); document.write( "(a) An urn is chosen at random and an object is drawn. What is the proba-
\n" ); document.write( "bility that it is a pencil?
\n" ); document.write( "(b) An urn is chosen at random and an object is drawn. If the object drawn
\n" ); document.write( "is a pencil, what is the probability that it came from Urn #1?
\n" ); document.write( "(c) If an urn is chosen at random and two objects are drawn simultaneously from this urn,
\n" ); document.write( "what is the probability that both are pencils?
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document.write( "(a)  P(a) = \"%281%2F2%29%2A%287%2F10%29\" + \"%281%2F2%29%2A%284%2F12%29\" = \"7%2F20\" + \"4%2F24\" = \"42%2F120\" + \"20%2F120\" = \"62%2F120\" = \"31%2F60\".\r\n" );
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document.write( "(b)  P(b) = \"7%2F%287%2B4%29\" = \"7%2F11\".\r\n" );
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document.write( "(c)  P(c) = \"%281%2F2%29%2A%287%2F10%29%2A%286%2F9%29\" + \"%281%2F2%29%2A%284%2F12%29%2A%283%2F11%29\" = \"%287%2F10%29%2A%281%2F3%29\" + \"%281%2F6%29%2A%283%2F11%29\" = \"7%2F30\" + \"3%2F66\" = \"7%2F30\" + \"1%2F22\" = \"%287%2A22%2B30%29%2F%2830%2A22%29\" = \"184%2F%2830%2A22%29\" = \"46%2F165\".\r\n" );
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