document.write( "Question 1088356: In a box there are 3 orange balls,4 blue balls and 5 brown balls.what is the probability of drawing three balls simultaneously and
\n" ); document.write( "1)they are of the same color?
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Algebra.Com's Answer #702829 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "In a box there are 3 orange balls,4 blue balls and 5 brown balls.what is the probability of drawing three balls simultaneously and
\n" ); document.write( "1) they are of the same color?
\n" ); document.write( "2) they are of 3 different colors?
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document.write( "1.  The total number of balls is 3 + 4 + 5 = 12.\r\n" );
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document.write( "    Hence, there are    of possible outputs when you draw three balls simultaneously.\r\n" );
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document.write( "    So, your space of events counts   = 220 elements (events, outputs).\r\n" );
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document.write( "    The number of lucky events is   +  +  =  +  +  = 3+4+10 = 15.\r\n" );
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document.write( "    The probability to draw 3 balls of the same color is  = .\r\n" );
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document.write( "2.  In how many ways can you get the output of 3 different colors ?\r\n" );
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document.write( "    In 3*4*5 = 60 ways.\r\n" );
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document.write( "    Indeed, you may have any one of 3 orange balls, any one of 4 blue balls and any one of 5 brown balls- in all, 60 outputs.\r\n" );
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document.write( "    Therefore, the probability to draw 3 balls of different colors is  = .\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "On Combinations, see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Introduction to Combinations\r
\n" ); document.write( "\n" ); document.write( "    - PROOF of the formula on the number of Combinations\r
\n" ); document.write( "\n" ); document.write( "    - Problems on Combinations\r
\n" ); document.write( "\n" ); document.write( "    - OVERVIEW of lessons on Permutations and Combinations\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 \"Combinatorics: Combinations and permutations\". \r
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