document.write( "Question 1186310: In a test conducted it was found that of 1000 new recruits, 600 men and 400
\n" ); document.write( "women, 50 of the men and 4 of the women were red-green color-blind. Given that
\n" ); document.write( "a recruit selected at random from this group is red-green color-blind, what is the
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Algebra.Com's Answer #817201 by ikleyn(52786) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( " This text/problem seems to be complicated and twisted, but actually, it is quite simple.\r
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document.write( "You have the big group of 1000 new recruits, = 600 men + 400 women.\r\n" );
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document.write( "Next, you have smaller group of 50 men + 4 women = 54 total, that are red-green color-blind.\r\n" );
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document.write( "You randomly select a person from this 54-persons group.\r\n" );
document.write( "They ask you, what is the probability that this person is a male.\r\n" );
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document.write( "Now forget about this big/large group. The selection is done from the small group of 54 person,\r\n" );
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document.write( "and it is a reduced space of events.  The favorable event in this reduced space of events\r\n" );
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document.write( "is selecting a male. Obviously, the probability of this event is  \r\n" );
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document.write( "     =  = 0.9259.\r\n" );
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document.write( "It is the ANSWER to the problems question, and the problem is just SOLVED/COMPLETED.\r\n" );
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document.write( "Such kind of probabilities is called \"conditional probability\".\r\n" );
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document.write( "Instead of working with the total space of events (the big group), we reduce our consideration \r\n" );
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document.write( "to the small group (the reduced space), where the actual choice is done.\r\n" );
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\n" ); document.write( "\n" ); document.write( "There are different methods solving problems on \"conditional probabilities\".\r
\n" ); document.write( "\n" ); document.write( "Right now I told you about the simplest method.\r
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\n" ); document.write( "\n" ); document.write( "In your further endeavors, if you will have another similar assignments, let me know,\r
\n" ); document.write( "\n" ); document.write( "and I will tell you about other methods.\r
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\n" ); document.write( "\n" ); document.write( "If you are interested to make your knowledge wider and deeper on this subject, look into my lessons\r
\n" ); document.write( "\n" ); document.write( "    - Conditional probability problems \r
\n" ); document.write( "\n" ); document.write( "    - Conditional probability problems REVISITED \r
\n" ); document.write( "\n" ); document.write( "    - More problems on Conditional probability \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "Read them to develop your skills and knowledge.\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\"
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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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