document.write( "Question 1183544: Urn 1 contains 3 red balls and 2 black balls. Urn 2 contains 2 red balls and 2 black balls. Urn 3 contains 6 red balls and 2 black balls. If an urn is selected at random and a ball is drawn, find the probability that it will be red. \n" ); document.write( "
Algebra.Com's Answer #813923 by ikleyn(52787)\"\" \"About 
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\n" ); document.write( "Urn 1 contains 3 red balls and 2 black balls. Urn 2 contains 2 red balls and 2 black balls.
\n" ); document.write( "Urn 3 contains 6 red balls and 2 black balls. If an urn is selected at random and a ball is drawn,
\n" ); document.write( "find the probability that it will be red.
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document.write( "The probability is  \"1%2F3\"  for choosing urn #1.\r\n" );
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document.write( "The probability is  \"3%2F5\"  to select red ball from urn #1.\r\n" );
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document.write( "The probability is  \"1%2F3\"  for choosing urn #2.\r\n" );
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document.write( "The probability is  \"2%2F4\" = \"1%2F2\"  to select red ball from urn #2.\r\n" );
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document.write( "The probability is  \"1%2F3\"  for choosing urn #3.\r\n" );
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document.write( "The probability is  \"6%2F8\" = \"3%2F4\"  to select red ball from urn #3.\r\n" );
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document.write( "The probability under the problem's question is\r\n" );
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document.write( "    P = \"%281%2F3%29%2A%283%2F5%29+%2B+%281%2F3%29%2A%281%2F2%29+%2B+%281%2F3%29%2A%283%2F4%29\" = \"1%2F5+%2B+1%2F6+%2B+1%2F4\" = \"12%2F60+%2B+10%2F60+%2B+15%2F60\" = \"%2812%2B10%2B15%29%2F60\" = \"37%2F60\".    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved and carefully explained.\r
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\n" ); document.write( "\n" ); document.write( "For simple and simplest problems of Elementary Probability theory see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Simple and simplest probability problems \r
\n" ); document.write( "\n" ); document.write( "    - Solving probability problems using complementary probability \r
\n" ); document.write( "\n" ); document.write( "    - Elementary Probability problems related to combinations \r
\n" ); document.write( "\n" ); document.write( "    - A True/False test \r
\n" ); document.write( "\n" ); document.write( "    - A multiple choice answers test\r
\n" ); document.write( "\n" ); document.write( "    - Typical probability problems from the archive \r
\n" ); document.write( "\n" ); document.write( "    - Experimental probability problems \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic  \"Solved problems on Probability\". \r
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\n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-II
\n" ); document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r
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\n" ); document.write( "\n" ); document.write( "Consider these lessons as your textbook,  handbook,  a Solutions Manual,  tutorials and  (free of charge)  home teacher.\r
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\n" ); document.write( "\n" ); document.write( "Happy learning (!)\r
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