document.write( "Question 1192749: A driver has 3 routes to get his produce from factory to ;the port. He uses route 1; 45% of the time, route 2 ; 35% of the time and route 3; 20% of the time. There is a 70% probability of encountering traffic jam on route 1, 40% probability of encountering traffic jam on route 2 and 50% probability of encountering traffic jam on route 3.\r
\n" ); document.write( "\n" ); document.write( "ii)If a driver reports that he is in a traffic jam, find the probability that he has selected route 3. I would do :Jam on route 3/ total probability of all Jams
\n" ); document.write( ".5/(.45*.7 + .35*.4 + .2*.5) \r
\n" ); document.write( "\n" ); document.write( "Please I am seeking some help in finding the correct solution.
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Algebra.Com's Answer #824643 by ikleyn(52794)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "A driver has 3 routes to get his produce from factory to ;the port.
\n" ); document.write( "He uses route 1; 45% of the time, route 2 ; 35% of the time and route 3; 20% of the time.
\n" ); document.write( "There is a 70% probability of encountering traffic jam on route 1, 40% probability
\n" ); document.write( "of encountering traffic jam on route 2 and 50% probability of encountering traffic jam on route 3.
\n" ); document.write( "ii)If a driver reports that he is in a traffic jam, find the probability that he has selected route 3.
\n" ); document.write( "I would do :Jam on route 3/ total probability of all Jams
\n" ); document.write( ".5/(.45*.7 + .35*.4 + .2*.5)
\n" ); document.write( "Please I am seeking some help in finding the correct solution.
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document.write( "The correct formula is\r\n" );
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document.write( "    P = \"%280.2%2A0.5%29%2F%280.45%2A0.7+%2B+0.35%2A0.4+%2B+0.2%2A0.5%29\".    (1)\r\n" );
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document.write( "This problem is about conditional probability.\r\n" );
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document.write( "Conditional probability of event A given event B is  P(A|B) = \"P%28A_and_B%29%2FP%28B%29\".    (2)\r\n" );
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document.write( "Notice that the numerator of the formula is the probability of INTERSECTION of events A and B.\r\n" );
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document.write( "So, when you apply this basic formula (2) (the definition of the conditional probability),\r\n" );
document.write( "you will get formula (1).\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved and explained.\r
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\n" ); document.write( "\n" ); document.write( "Happy learning (!)\r
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\n" ); document.write( "\n" ); document.write( "On conditional probability,  see the 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\"
\n" ); document.write( "and  \"Additional 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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