document.write( "Question 1151966: The probability that an international flight leaving the United States is delayed in departing (event D) is .24. The probability that an international flight leaving the United States is a transpacific flight (event P) is .50. The probability that an international flight leaving the U.S. is a transpacific flight and is delayed in departing is .12.\r
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\n" ); document.write( "\n" ); document.write( "a) What is the probability that an international flight leaving the United States is delayed in departing given that the flight is a transpacific flight? (Round your answer to 4 decimal places.)
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Algebra.Com's Answer #773858 by ikleyn(52851) $\"\"$ $\"About$

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document.write( "You are given three facts :\r\n" );
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document.write( "    - The probability that an international flight leaving the United States is delayed in departing (event D) is 0.24.\r\n" );
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document.write( "    - The probability that an international flight leaving the United States is a transpacific flight (event P) is 0.50.\r\n" );
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document.write( "    - The probability that an international flight leaving the U.S. is a transpacific flight and is delayed in departing is .12.\r\n" );
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document.write( "          This event is the intersection of events D and P, so you are given the probability of intersection of these events\r\n" );
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document.write( "               P( D ∩ P ) = 0.12.\r\n" );
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document.write( "The problem's question asks about the conditional probability  P(D|P).\r\n" );
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document.write( "By the definition, for any two events P and D, the conditional probability  P(D|P) is this fraction\r\n" );
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document.write( "               P(D|P) = P ( D ∩ P ) / P(P).\r\n" );
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document.write( "Substitute the given data into this formula, and you will get\r\n" );
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document.write( "              P(D|P) =  = 0.24.\r\n" );
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document.write( "It is your ANSWER :   The probability that an international flight leaving the United States is delayed in departing \r\n" );
document.write( "                      given that the flight is a transpacific flight is 0.24.\r\n" );
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\n" ); document.write( "\n" ); document.write( "If you want to see many similar solved problems and learn more on conditional probability, look into the lessons\r
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